{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<small><i>This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/).</i></small>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Supervised Learning In-Depth: Random Forests"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n",
    "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
      "  warnings.warn(self.msg_depr % (key, alt_key))\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "# use seaborn plotting defaults\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motivating Random Forests: Decision Trees"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Random forests are an example of an *ensemble learner* built on decision trees.\n",
    "For this reason we'll start by discussing decision trees themselves.\n",
    "\n",
    "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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GlTtP6ROQBw8eyBwXxcXF2L9/v3BOKB1/y5Yt0a1bN0gkEixYsECmV/rc3Fxs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1047140b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import fig_code\n",
    "fig_code.plot_example_decision_tree()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The binary splitting makes this extremely efficient.\n",
    "As always, though, the trick is to *ask the right questions*.\n",
    "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n",
    "\n",
    "### Creating a Decision Tree\n",
    "\n",
    "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jQJ0sHpMKry8RiF9j3b6ayX4jI4z27sYpLJQoVzfSe/Si+xczSrprerOzs+di\n1eqgI+9zAPAsbLWLjWHd2lWU//rbl7Z5YvkSxuYIwgBmwMiDPhzauA7jY0cwJev9cl7UeSTteMa8\nZx+ifY/imOsR9HEHB8qNf4cHc2fjkZ7+vD3gaJv29G/T7qX91+XC7p3YfPYRI2Ois8tOHdhPsIkJ\no3NM02qYmkL1E35s//RznvzyOyqliv7d2hMTk6Kr2SLRst9A9v7zN6MvXdQoTwSURXj3n1arNty4\nplV+1cycSl26FdlxBOFVE4H4NSaTyej62VeoPvmc5OQkallaFflyh8VNJpOR0qkLVy9dpF6OoBYN\nxAHP0oPIAHmqnsHkbKBW1i/ImtKVedIf46cDvYyBJCD3s4ObpqaUe8l7zbajx7H75nXqbVpP88RE\nVMDBcuXI/PRL+owai7+5GWfWraHy3TtE29gQ3rY9nebMBbJWfvL771+Ue3ZiFB1NesWKOIwYTZM8\n1mOWJIm4hfPpniMIQ9aAvSE6tjcHjI4dpfZnXwMUy1zlnORyOTV/n8/Kzz+hy8XzuKlU+Ds4ENyn\nP70+/LTIjlN96nscOn+Wro8eZpelAKd692VA46Z57ygIpZwIxGWAXC7Xejz7ukhNTcV8724S1Gq2\nkhUcM4FYsu6odpOVmcoEsPDUb86yOo81gQFC79zCrrw7BN/Fm6xMZF2BZ6shXzEx4eKkKfRo2fqF\nx5DJZPSePZcHY99m3d5dyExNaT5idHZmsbYTJ6MaP4mIiHBqWdvQLMf764Ozf6Dr3/NweZZa8/ZN\nrgae5kxqKp460lI+evSQ2rnuNiHrPOU1RNIwj8f9xaVy/YZ47D3EhWNH8Hv8kPpdulOnvHuRHqNK\nw8bcW7aaNYv/wfzWDTItLVF16Ezf9z4s0uMIwqsmArFQogJWL2fAzes6A8o2oM/T/75pYEDQfd3r\nAyuVSmQyGeEP7nPl73mEnD+r851lOND0UhChFpYcNzWlvULBWLKWKQwArlWtRse/FtGjmafe/feo\nWQuPmroHxsnlcsqVK69RlpgQj+Pm9c+D8FP1kpK4suI/pCHDtKY3mZiYkGJkrLVwRyXgFqArRUdq\n9Ro6SouXTCajaTFn76rSoBFVFogEQkLZIgLxGygxMYHAZUuQR4QjVaxEq7Fv61xN6FWQHj/K+64u\nx3/XUqt5sGIpiRMmYW2dlQjz9vnznP3mOyyDzhOjUmOcksLolGTUZN3pdgdcn+4fBhwBRgGylGR8\ngT9r16WrA0+GAAAgAElEQVRCehpKK2vS23di4udfF3u61svHjtI1LExnnfutG8TFxWJv76BR7urq\nxsHmLWjpd0yjvCHwg709n8fGarwPP+nsQsWJmmk7BUEovUQgfsPcCjhNxEdTGRIcjBFZi9xv27iO\nGouWZc+vLYw7ly7yYPNG5OkKTFq0onHPPgSsXo7swnlUxibY9OxFM+9e2Xd9sgoVUaD7EWvuhRu7\nhIWxZftWOo+dQERoCI+GDWPk3ayVmrbyPLmGATAG8Ccr73YKUB9oTtb6wEZkPdZVm5vR9vjpQn/m\n/LAt50akkRGWmZladYlW1lQy031BVOWrb9ga+ph+wXcxJCt5yJ5KlfH6dR4b/Xwx9TuGYVISqTVq\nUWHSFOp4tSneDyIIQpGRSVIxrLqeB5GJ5eWKM2ONJEkc7NOdUWcCtOoWeLZkyO4Dhcr6dGTer9Sc\n/weNn04liQb+srPjo7i47NWgHhkZcWT8RHrP+hmAtLQ0Tnh3YkSu0bDXgVSgWY6yVGDfX4to/9YI\nfGZ+yahFC7ITV+xCew3gZ3YC5cgK7DnfMgfK5UTNW0CLt0YU9CPnmyRJ7O/rzdhAzQsACVg56C16\n/bMkz30T4uM489+/GIaGkOniSrOJk7F30Lx7Djp8gMjNGzGOiSa9QgWqjZtIyy7txN+eHkS2KP2J\nc6UffTNriUBcyhTnL/ity5dw6tGJmjruxnyBG42aUO/72dRq9eKBSro8vHMbZY9OtEzUHCSUAewD\n+ucou2ZmTszWndRu1gKA+9eucuuHb6gRGIBNWir+1jZUT4inQ65jbKtaDU/f05iYmOA7ZjhDfPZm\n1+3IdYxnJGAdWYO9dM0KXl7endZH/LUeBxen+1cucevDafS7chlrIEwuZ08rLzouXVWoBTr8ly6m\n9k/fUzvHHGY/F1csVyynQlOvIuh52SaCi/7EudKPvoG4eOc1CKWKIjlJ5yNRyJra0zvoAhEfTyO5\nAMkRbm3aoBWEAZ2ZkOqmpRKye1f2z5Xr1sN743ZMT50j1i8Qz0PHedigIc9yNUnAMScnTD/9InvV\nokw7zXWPDcl6BJ2br4MD1xo0wiOPfncMDeGIVzMO5rH0YXGoXL8hnX2OcfjPhaz79AsuLV9D/627\nCxWEFQoFBv8t0gjCAO0iwrk/d25huywIQjES74jfIHWat+B0jVoMun1Tq+4+0BhwDQ5my7KldHn/\no3y1baDMyLNO18NuXWXlypUnMSGe0//8jbF7Rf6Wy5HZ2eNSuy71xk6gXo6sWm5Dh3Ntz07qPp0T\n3IOsJSA9gVpkBe8jTs4k/9+X9G/fgVSv5lqjjiHrXXH7mBgc/pqHfzl32o6doP+HLgQjIyPaDh9V\nZO1dPHqY9sG6R5U7nT9PfHwctrZ2OusFQShZIhC/QYyMjJC//Q7Xf5hJnRx3ThfJeocqI2sgkyzi\nSb7bdunSjbtLF1MtRzYpyAqIucPfTVNTyvXqQ24Rjx9xaexwhl+9kp168qaZOUEtW2ultqzn1Zag\nn37i3q+/0e3RQ1SAZZWqHOndl4syAyQTExqOGouzqxsAB9u0A9+jWscMIuuRtUypJGPPTnhFgbio\nmViYkyqTaaQ7fSbDxARDw+IdDS4IQsGJQPyG8Ro/kaDy7vh8/jHVQ0PIAKrzfBBTKmBQuarGPjER\nEZyZ9ytml4OQDA3JaNmKdh/+n8Zi9/W92rGt/yAcN67LHpglAf+gOYgqTC7n5PDR9PVsqdW3C7/9\njzFXr2iU1UpLJWzJP0QNH42Ti4tGXdf33uNBnyHs2LkNuaEhLfoOyHMVsCpfzGDr44f0Dw5GTlbK\nyUNABeAgkA4khIbkfeJe4NyuHcRt2YBpZCRpbuVwHj6KRt28C9RWQTVq24Ej9Rsy4nKQVt0FNzei\nRgzGNCwMhYsLhn360f7dacW6HKMgCPoTg7VKmVc1COLaCX8sJo6heWyMRvnq+g3puO9w9rvY+NhY\nAob2Y9TlS9mPk5XA0o6d6bd2c/a61ABqtZrFb4+mwd7dGJD12LcFWXedauCBqSke8/+hZb+BOoOA\nb9sWDLl1Q6tcDWyY+QNdp2tmUHrRuUpIiCclJQVXV7fsFI/xcbFs/fQDKu/eiRFgSdaFR3eypk/5\nGxpyd8wEes+Zq3eQ8l+6iHqzvqdGjvSbV62teTDrZ1oMG6lXG0XlytFDKD79AO+QEAzIurj4zdmF\nkfFxVMp4/uogUi7n0Aef0O01ykn+KogBSPoT50o/YrCW8EJ127Ql5pffWefZggBzC47YO7DKuxf1\nFi/LDsIAAQvmMzJHEIasxyhvHTvC6c0bNNo0MDCg8wefUs3cnL5kzet1B3qTdVfs1KgJrfoPKtid\nmJ77RIaFsnfCKB60bEJmy8Yc79GJgHWrAbC1s2f8kpUktm5DR7IuKPqTtSCEDGinVNJ/+RJ8lyzS\n61gZGRlIK5ZpBGGAeomJpPy3GLWONYmLU/1OXans48v6jz9j4+jxbJ7xLdVs7TSCMICzSoX1lo2k\npBTfQhCCIOhPBOI3WNO+A+iy+yCWgRepGHCBHqvW416tusY2ptcu6/wlsQMyzwZqlddo1JjTHTtr\nvRe+a2qG5UsGJ6U1baaz/JiTM42HaOdgzk2lUhEwaRzj9uyiS0w0zRQKhl68QJUZX3Bx324g62Kh\n/dJVzKtXH13r9dhLEqpDPi89FsCtS0E01zHwDaD2tas8yrE4wavi6OxMty9m0Om3P6nZdyC1793V\nuV2zRw+5E3ThFfdOEARdRCB+w8lkMlxcXPMcUas21bWOURZVHu9juy9cytqxE9juUZmjtnZsaNyU\na7Pm0PIlgbjpZ1+xun5DjSB+zdyc6MnTsHNw4OSWjRz+eRYnt25ClStXM0DA9i3013FxUDc5iZh1\na7J/tnN0pHbHLnkOkDBOTHhhP5+xsLUlPo9zkGhmhoWFpc66V8XW1paIPBYDCbWwxKGIF2UQBKFg\nxGAt4YUMO3clZv8eHHINJbhsbkGFgboW4QMzMzN6zp1HZmYmaWmp1LOy1utxtHO58njt2MvGxQsx\nunUDpZUVroOGUqucO/t7d6Xf+XPYAzHArqWL6bZpA8ZWTtn7p92+RV5pOYxzDcSybNyEMLJGi+f2\n6AWrN+VUpXoNfJq3oIH/ca26ey1bU9PJScder46trR0n2rRD2rlNa7rYlVZe9M41El0QhJIhArHw\nQm1HjWX7xfO03bKRmoqsFBuB1tYET55O15esUmRkZISRkU2+jmdlZU23T7/QKNs7Ygjjz5/L/tkB\nGH/+LOs/+IAuy9Y9P557BZLJGoSVW4aTs8bP5nb2bJPJmCJJ5Ay7/oBBRt5zonMzGjSUuZcvUT0h\nHhVQFzjToBH1v5+tdxvFqc3/fmN1ahLtjh/HIyODULmcA54t8fz5t5LumiAIT4lALLyQTCaj3+9/\ncX3YSM777EWSG1FzyFt0raFr8b2i9yQslJqnT+qs8zh+nIiIcFxcstZYajVsJNtXLGV0rilQj01M\nsBgwSKMs/OJ5xksS28iaO/1slHctoGJ8vF59O712FTW+n8GwhKztJWCXnT0Vvv1R6117SbF1cGD0\ngQMc2bqb01cuYVu9Fr27dRdTlwShFBGBWNBLHc+W1NEx97e4xcfGUD5X2sZnHJOSiIyNzQ7ExsbG\n1PprEatmfEGzs4E4ZmQQULkKacNH0ynX+2nbatVJMjBgiI6RzVf1eKSckZGBcuF8muQI2jKgX1ws\naxf8Sb227fPxKYuXTCajYfuO0L5jSXdFEAQdRCAWSrWqNWpxukYtquoYnXy9Xj2a57rz9KhbH4/t\ne7lz9QoPoyJo1NJLI/HIM82692RvM0/G51qJKlYmQ9KR9Su380cO0eHObZ11LhcvkJiYkL1usiAI\nwouIUdNCqWZsbIw0cgz3c41OvmdqitnEiRgZ6U7dWL1efZp17KIzCEPWXWLjPxeyol0HrpqaEg8c\ncCvHninv0SlX4hBd5EaGaI/bzqI2MMhOIiIIgvAy4o5YKPU6TJlOgIMDAVs3YfzkCRlublgNHkbv\nqRMLld2nfNVqlN+yiztXr+D3+BF1WrWmiZ4LIzTp0Bnf2nUZkmsdZYDIps1pbKlfRh1BEASR4rKU\nEanj9FfS5+r8zm2Yff0Z7SIjkQEqYEfVargvXkaVBo1KrF+5lfR5el2I86Q/ca70o2+KS3FHLOjt\n4c0b3Fy8ANM7t1FaWWHYrQftxr39xo7AbdpvII/q1GPdqmUYx8SQXrEinpOmYuegezZzZmYm+zee\n4MmlDAwtlXQeVR+PqhULfHxJkji+P4CQ64nYu5vQbXAbjdzfgiC8HsQdcSlTWq80710OIm7CGLwf\nPcguizEwYOe4ifT5368l0qfiOldqtZr09HRMTU2L7CIjMTGR38fsx/rUUEyxRkIiyu4kzb5OoPeY\ndvluLyY6lr8mHcIioBcWKjcUJBDfYBej/mxAjbpVNLZ1crIiIiKB7cuO8MBXhSpNjm3tdPpNb4GL\na8kmHSlNCvP7lJGRwf71J4gJzsTMSaLP+DZYWpZsZrXiVFq/p0obfe+IRSAuZUrrL/jBd8YzcsdW\nrfJAGxsM9x+lYgnMmy3qc5WRkcHhH2diceQQlvHxxFfywHT4KLzGjC9024u+2IVy2XAMco2PDC+3\nn49962FrqzsVZV7+eHcHxttHIcuVMyu29Rpm7OinUebkZMVXw5chbRiEKVkjuSUkImtvZvLaJri5\nay4vqYskSfjuC+Dm4QSQoGo7S7r0b12mBqUV9Pcp9OETFk06hX3QYEywREkGUVV2M+iPCjRqVbsY\nelrySuv3VGkjVl8SipTZ1cs6yz0TEri5Z9cr7k3x2P/hNIYtXsjgu3fwjo5i2PmzNJjxOadWryh0\n2xGBplpBGMA5rBsH1gXo2CNvycnJxJ5y0grCALKzzbkapLmUZKB/EGnb22QHYQAZMlxuDGXH/DMv\nPZ4kSfz54RbOTayHtHYI0rohXJ7SjF/f1Z3z+0XtBB6/yNo/fDiwxS9f+5Zm678/g1vQOEye5nQz\nxBi3e4PY+cMdXuF9jvAaE4FY0Isqx9KIOWUCBhYWr7YzxeDhnds0OLif3J+yikJB6oa1OveJjohg\n/3cz8B39FoemTuK8z94821dn6n7ELcOAzPT8fVmnpqZikKz7Dto004WosFiNsrN7H2KbXkPn9rFX\ndC9akdPRXafI2NgDC9XzzNzmkhOGO4eyd62fXn2Oj49n1vCNHBtZgYQ5Q7g6tTXfe+/m9rV7eu1f\nWiUnJ5EQ6KyzzjioNRfP6L6AFYScChyI//33X4YNG8agQYPYulX7kaVQtqS28tI5b9anYqWXrqr0\nOrjl70vzxESdddYP7pORK/90yN07XB3Uh9EL5zPkwH5GbNlIjUnjOPSLdo7pgG2bKZf8P+zoSAYT\nSSIouy7GJpA2fevmq69OTk4Y1nyksy6xwmmat2ugUWZgJCGhO9gbGL18zeRbR5KwVLtplZtiwwP/\nF+flPrT5NLP77+P9BuuxO/o21hlZC02YYYfrpdFs+OLya33XqFCkI1PovhA1VtmSEKs7K5wg5FSg\nQHzmzBkuXrzIhg0bWL16NU+ePCnqfgmlTLuvvmVJ+45EPx28pAYOurhi+MU3ZWJQinO1GjzKIzlI\nqp29VuKQa7//wpDbNzUeDldJT8dtxX9ERYRnlx2aO4eGH0xlRthZ3seXn/iPtvQlET9S5RG4DL+b\n75HTMpmMZmOtibfQfASdahhO1SFJWOaaw9xrfDOi7LTzdavIpFzr3CtHa5NUeQ9YU7/g6fKhrac5\n+1kFLE8NwF5RV+ejeaMLbbgQ8PreNTo4OGBSN0RnXWJlf1p2aPKKeyS8jgoUiE+cOEGNGjWYOnUq\nU6ZMoWNHkcO2rLO0tGTAxu2c/Oc/NrwzlfWffE75Q8dpPnhonvtIkkRoaAiRkZGvsKcF07Bte47q\nWE1KAaR17qY1etos6ILOdtpHRxG0ZSMA8XGxOK5eQcX0dI1t+vEYW+ePqPPHOd75vm+B+ttjuBet\n/wwjuctGImvuINFrE9VmnWH0595a21aq4k7d96OItnn+PjhVFkV8l2UM+6jLS49VycuYNOK0yjNJ\no7xn3kH67JpYbFNqoyQNY51rYoF5phsRj2Ne2ofSSiaT4TXJiVj7cxrlSab3qTtGlWdmN0HIqUCT\nDuPi4ggLC2Px4sU8fvyYKVOm4OPjU9R9E0oZAwMDWg8cDAMHv3TboH27iVown5pXLpFiZMSF5i2o\n8dXMUpXoIieZTEbj3/9i+Sfv0/FsIBUzMzljY8vV7j3pOeNbre0lue41iyVA9rTu3M7tDA3X/bSo\ngcETWgzxKtT0qA59PemgZxwfMq0LdzoF47dpI+pUOQ1bWtK53zC9Rj33eKsdlw9sRL5/FMZkPYbN\nREF8h9VMmTBI5z6SJJFy3xRbwARrUonWuV2sy0ladGqo34copTr0aY6V3VX8V28gLcQEE8cMmg2w\no3P/l1/kCAIUMBDb2tpStWpVDA0NqVy5MiYmJsTGxmJvb//C/fQdyv2me93P0/WAAGw++4iuz+6E\nFQq8jh5m25NQagcEYG1tXWTHKspz5eTUmIYn/Lhw/DhXb92iYZcutKxaVee2UhsvpFs3tcYtHy1X\njh7TJ2NrZ4VjOSfS0L0+MmamODtbv7LpP05OVjg5NaJ1u4JdCM3d9TbrFx7g3vFMUMuo2tqAEe+P\nxSSPQXwAZk4ShGWN0DbHiShu4kSt7HqFLI5qI2KpWasTKSkpmJubl/h0qIL+PnkPaIX3gFaoVCoO\nbPcnJjyJ9LQk3CuWe/nOgEqlYtdaXx6cTcHIUkWfd5pTqbJ7gfryqrzu31OlSYHmEfv6+rJ69Wr+\n++8/IiIiGDNmDD4+Pi+9uhfzzl6uLMzPO/jBFEau1x5pnAls/vIbun70f0VynJI8V9ER4QSOHsbw\noAvZI63PW1vz4POvaTdpCpA1L/lUJy+G3L6lsa8ErBoyjJ4L/n0lfS2p8/Tfj7tJ/msARmQ9nn3M\naZIIQzJOo1xDE6p6GyCXG3B9eyaZIXbIHRKo2C2TcV/3QJ7HE4fiVNjzFHT6BttnBGN9pTum2BFt\nfxKn/veYMqf/C78bk5OT+W3cHiz9BmGGfdYcbwc/WsxIpefINgXuT3EqC99Tr0Kxprjs0KED586d\nY/DgwUiSxLfffvvGpjkUtJmEheksNwLkIY9fbWeKiaOLKx137GPrf4uR37pJppUVld8aSbtGjbO3\nMTY2xubLb9j/1Wd0fxKGAZAMbGrajFYzfyixvr8qY7/swd+RG4jyqYNjgif2BpUxaXKXEXOzsn9t\n/OsQD2a1xEn5dER2DCTdTmFR0lamzR1Qsp3PJ4VCwdbP7uN2a3h2mVNsGxTL67LJ/TBvTe+a577r\n5hzDwe/t7MFsMmS4xLTn9C/7aN0rPt/JXoTXT4ET03766adF2Q+hDEl31D2vUgVkOr88i9Prwtzc\nnK7vffTCbRr36kt0sxasX7EEo7g4DGrVofuI0RgbG7+iXpYcQ0NDPvxrMA/uPuSc7xZcKtrRpms/\nZDIZKpWKm1uk50H4KWMsiNxXgYtDgji/N4TMRCMcakKfse1K9cAnnw0ncbilvY61qWRH8AEVTM97\n3/BAExx1JXt50g2fddsYNrVHUXZVKIVEhnihyLkNH8WlQ/tpmGte7p5KHjSfOLmEelVyHF1c6Pb5\njJLuRonxqFYJj2qVNMqio6NRP9T9DtQ6qgn/DFtLw+QpyJDxhDTmbN/ItJXtSm1u7OQoJcaY66zL\njNc9Le4ZdYbup4lyDFEqCt014TUgMmsJRa5+u/Y8/H4Om2vX5TFwy9CQtc09sf1jAfZ5rEwkvB5u\nXLrNkq/38c+HB9ix4ohWohN92djYIDlE6ayL5Q4Vk7tnp/A0wgyXi2PZNPt0gftdGGq1mqBzl7l8\n4Spqte4EKFWaOJJo9FBnnWWVF0dT+3q6z2G09Vla9aqls04oW0QgFopFq5GjaXPEn9u7DxDlc4yu\new5Rp03bku6WUAhbFh5hywADMpe8hbRuMPc/68LsodtJSsr/oB1TU1OcO8ShQjOhiIREFNexR3O0\nugwZkWdf/aNp311n+LH7Afb1Kseeni7M8vbhxP7zWtu16tSEzHYHUOfKPxdrd4624yq88Bi93qtL\nVJU9GmVpBtE4DblJ1ZqVC/8hhFJPrL5UyojRiPoT50o/8THRbJkfgCrFCNcGRvQc3lYrU9jLhIdF\n8E/nEFxiOmiUq1Fj9M563p2V/8QkaWlpLHh/L6lHG2Cf1JgE09uEu+/G/e4YrNAeSxBWcTuzzhXf\n3Nzcv0+3rt5l49BUHKO9NLaLcvFl7A4nrYxoKSkprPjuMOEnzFAlG2FTO402E1zx8n55dq2H90LY\nt+giibfNMLRUUr2bCX1Gdyi1g2DF355+inXUtCAIpY9arcZ332kiHyZRy7MCjZrXZfcqPy7Otscx\nNms07z2SmLVlIx+v9sbGxuYlLT53eMMFnGOGaJUbYEDU2bznEr+ImZkZny4ZzL3bD7gUuI0OdSvi\nWmEIf3W8ilWkdiB2aJSuo5Xic3TVTRyjh2uVO0a059DyDUyapRmILSwsmDa3H5IkoVar8zUFq1IV\nd6b8UrrnDQvFRwRiQSgDgm88YNXHF7G64I255Mw+01vs8lpD2lU3KsS2yt7OBCucAiawfvYGJv+s\nPco3L2olOpddBJCUhXvDVaWGB1VqeGT/XH3cWUL/fIBVelaZhERU5X0Me79moY6TXxnRJuh6biBD\nhiIq74sPmUxWIvOghdeXCMSC8JpIS0tj6yJfIs8bgAG4t4I6DcwJXbOSgwcrUjVpbva2toqaqI9U\n4xqbyf2G0gADIs7k7y62Ze/qbFx0EYfkxlp1Do0KP7Q3MiKabb8HEHXRBJnMgPS228DYHnmaNZZV\n0nn73cZU8Chf6OPkh5lbOplIWhcgEhLmbq/27lxfqampnD56AQtrUzzbNCnxTGWCfkQgFoTXgEKh\n4OeRO3E4MQ7Tp/dpYT6p+MnforLqIQ7M0trHADlGmKMiE3mue7u8pszkpUadajiN2EHyf26Yq1yB\nrIAUUXsTkz9sXsBPlSUhIYG/R57A5fIoHJ4GPQmJSM/lfLmlLaamL14zOTU1lY1/HCU80AhJLcOh\nYTqDP/LCwfHFKXdfptuEBqzcewSnMM330pEVfJg8qVmh2n5GqVRyYMsJnlxRYGyjpsc4T5ycHQvU\n1paFR7iyQo7Ng/ZkypLwabiPXl9Xonn7+kXSV6H4iEAslFlqtZr9B9aRqriHgVyFpLShaePeVK5c\no6S7prfT69eQsnkDymu3qBZXhYekYMsHANxiFw6q7wghkip46NzfCDMySdMKxAV53/ruj/040MCf\nmwdSUKbIsa2VwXtTW+HkXLgpaTv+OYHz5REad54yZNifGc6u5XsZOqV7nvtmZmYyd8xO7P0mYPP0\n60x5RmLemVV8uqVzvt6D5+ZRtSI9/0zg8LyNKC5UBpka06YP6P9JZdzKuxa43Wfi4+KZN/4AVqcG\nYYYdCtT8tfYgnX68T4e++bu48d0TSPDP9XFJyxptbipZYxU0nF2f7KT6YZGdq7QTgVgos9Zv/BWv\njirMLZ4vu3Dm1ErU0iiqVqldgj3Tj//SRTT+YSaVFc8e/UYQzhl+Jopo2lGVrpjjQDKRPOY0HrTT\naiPDJRhldD1QZS20ISERVXUXY97P/12STCbDe2g7vHOtfBnyKIzDq4NQphjg3ticrgO98vWONO6G\nMcZob2+EGVFXX3znvm+9P9Z+w5Hn+CqTIcPl0ii2/7OZcV/00rsfujRvX5/m7evz5EkYBgYGuLjU\nLVR7Oa358ThOp97OvgAxwADXJ94cnbOdlt0UL30SkNPFbTFYpWmPKHd51Js9/21l1CciO1dpJgKx\nUCZdv3GZKjWTMLew0yj3bO3A8UN7S30gVqlUqNatzhGEs7iiwpN1bKEu5mTdiVrizAOOoSARU56v\nbJVgfoueX3hgbX+TM5v8USbLsa6ewaTJTSlfUTO1ZEHtW3uCwFlmOMcMRYaMq0QTuHETn67si4WF\nhV5tyM1VedeZKfOsAwg7n4kJ2lNEDJATezV/U7RexM1Nv1WU8iMy0AxXHQPgHIK9ObTtAH1GdNa7\nrYwYY3S99TdAjiJaDBwr7UQgFsqku8HnadneTmedTK69yH1p8+RJGNXu3tFZ15kHrEezrg5DuM0e\n1CiRDGJxb21FsxH2dB3shZOTFV499JvzmZ6eTkREOI6OTpib607Z+Ex8fDwBc8E1x9xicxwx9Xub\ntf/byDs/6jcqu15PG87seoxVpuawsnizG9RqCIv+by9pEUaYl8ugy/i6GkkuDExzp9BAo640Uyt0\nB0hDTElNzF/GMjN33QPmMkjFtaoYsFXaiUAslElyuTFKpQpDQ+0vu/D7ScybcBD7mkr6TfbS+z3i\n48cPuHI1EDtbJ1q06FCsI1JtbGy4a20DCu0v2EeYIaH5zs8AA2rRl1SisZu+krdnvJWv46nValbO\n3seDvebIHlVC7XIOl86xTJzVI881hw+sDcA5bKBWuQFywk/rPyq7Q++W+Pb4h9s+llTK6IIDNYiy\nPYVhh7NcneOJY3RrTMhaNGTNPl+6/ZFAq85Z6yo37+/O/g3XsUuro9FmqkEUtTvr/2i3JNjWSwMd\ni5FFOfgzqN/Lk4Dk1H5cVXb5nsYhqpVGeWyDrUwZLR5Ll3biUkkok9q07kXgKe1cxpkZSiJ2N8F4\nzyASfxvMbwOPEx4W+cK2VCoV6zf+yu1H/9LUKwQ7t1Os3zyDO3evFVf3sbKyJtSrLbrS3m2hJnKs\nucZWjXI1KuJbb2Lcl2/n+3gr5+wnbn4PXIL74ZzZCNeQXqhWvsWi/9uT5z7K9Kygq4u+o7LDHofz\n46BtmO1/i6YZ01AZpnKt+myG7TRBdb8cjtGtNbZ3Cu/AkXmhPEsI2KRVfSpMvUK01bnsbeJMb2I8\ncrdERvEAACAASURBVA89h7XXqw8lpdu0akS7H9EoSzUMx31YKK5u+VulrGHz2nT6I5P4Nht4YuPL\nE2cfUnuv4Z2lnnleSAmlh0hxWcqI1HH6e9m5OnnKh5iEY3i2dsLAwICwx4lsnyXH4fCPGD59oyYh\nIRu9gam/9c6znR27l9LIMxpzc82lCw/tj2LYoFnFlrwhPjaWY++Op/upE1TKzOQJMpbTijhWYkk1\n4rjPEy6glimxrabEo5OMkV900no3q+s8KZVKfDb5E303A1MHFZdXg/s97bvoCIfjTD3mjour9tKW\nwbfus66HSufcYuWQ9by/IO9z+sxPb23D7thYjTIVSuJ6LETu0xM7qZrWPpEmF3j7lAkVKjzPbHX3\n5j1ObLmJpJbRuEdFGjXP/6Cqkvjbu3U1mENLb5AcbIqhjZJaPczoNaJdoVJbxsfHYWRkrPc7+oIQ\n31P6ESkuhTeeV2tvYmKac8p/N6f3HsdgtykmGbVQEIclWdNPZMiIOv/iO4b0zPuYm2tP0fFsbcmp\nU4do29a7QP2TJImMjAyMjY11fvHa2tvTf9MOgo4d5eSVSwScicP60BwsyVr8wI7K2FGZuA4r+Xqj\n9iPivDwJieCfSf7Ynh+IKTYkoCCWLZhwAyc0B7FZxdTn1uVzOgNx1ZqVsR+yjbSVFTBTP5/7Glll\nN6On13tpP25evYP6dFOtcjmGpF50x1SWiq5HAhIqrYufarWqUG1GlZces7SpWa8qNedVffmG+WBr\nq3tshFB6iUAslGl2dnaoDp9j+q7dNMzMQA3s4W+OMRNbpmZt9JKbD7mB7oEzNjZm3E6OLlC/tv97\njCtb00gPscLIMZXK3iqGfdwZnw0nCb+ciaGlko4j61KlhgeNO3WGTp3pkJnJwk82EnWgOnZxzUgy\nvQetzvD2H23ydex13wbg+v/snXdgFNe1h7/ZqlXvEkKFpgKidyEBQvQOBmywAdfYxLHj5CV+yYsd\nO3HixHYc23HiEndjeu+igyREFU1ICJCQUO+9bZ15f8hIrHdVANHs/f5Cd2bu3B1259x77jm/c/rJ\n5r+V2NGfxaSwFk/CzPJ565wv0yMs0Fo3ADz/1ly29T5Mxn4dhho5zqFanlw2iKCeTbrJkiRhMBgQ\nRZF9mxJpqNYTOX0A/oF+5GUV4ai1XpFLVdsFXd9jkNzf4ph6WAZ+fu2vtm3YeFCwGWIbP2rivvqM\nBauWN4c2yYBZFGPHa+xhEk70xGtI2xKNosm6e+lqeiU9uk+86TGt/2g/WX8bjqfhe8nGUqhIq+O5\nVe8woPhl1DhhAr5bc5TB/xfHzCea9jqVSiUvfTiPvJwCzh7dRY8wf8IHtr8SliSJgzuOkpFQi1HS\nkhmvxZrj1o+hFJOMLwOaPjciDtGX8A+c32rfgiAw+4lx8IR5u9Fo5Js3d5N7QElDoZJqXTEO2gB6\nMZsvPkiky8OnGLMwjD12CXTXTrPoV94jn8m/C2Pfb/fhVTgBAaFJyStgF3N/a33lq9VqWf7mPgoS\nVJjqFTiHaol5thtDxnRe7q8NG3cCmyG28aNGOrAfa5pCEylnF59RPLAvL75sKYRxI0GBUVy9EkfP\nkJboaoPBRHqamqWP3ZwwhslkInWDCW+DuW6yGkc8i6Mx0bL69qocxan3dxM1uxI3txZ3o3+gH/6B\nbee16vV6Dh3eSkNjEQlfNuB78hc4ik25w56kcJFN9MHciGtwJ8c5FseaLjS4pOMYnc6y91pXtWqL\nj367FVY9gg8tNYQruUYWB+lROZ7az0N5d/snqLQh6KhDTYvoSrXsGn0fVhI5cTBB2wvY8+VaGkuU\nqH20hHiZSNrWyPlD15iwZGDzc5Akifd+tgWnPU/iff21lg2x544i/zyNgRH3d964jZ82NkNs477j\nQkoSOTlpODi4ERU5BYXi1r+m8vp6q+0C4Db0AkvX/RpHR0er51xnxLAYjp0wcXBPIkpVLUajApnk\nzyPzf3nT4ykrK4Us667eLgymmGQzhSzvwonsXbOJR37e8X3okpIiYve9z9gJbhxcXUPg8bdQ0RK4\n40NfZCgoIhlfWly/NUFHeG3zeHIzLhAUHIBfV0u3cEfIyymgKjYErxuMMIAb3SjkDHmcokbMQVnQ\nCzlKTvIfPAhGgR166qjgMlMGNKlE+Qf68fSf/aipqeG9pbE4H12AHS7okfh85WFG/jGLqYsiORl3\nDvmhiWYKWwDuJaM4+MVqmyG2cV9jM8Q27hsaGxtZt/EdwgeIDBvtQm1tLms3HmHY4MWEBLcf/GO1\nz9594HiiRXuxIDDouYXtGuHrRIyYSMSIiZhMJmQy2S1HtTo7uyC6X4YGy2PVZOOE+UpXQIZRd3OJ\nDYfilzNlpjeCIFB03B9XLKNnvQgjjS3NhrhOnU3vxQb8/f3x97+9urhJcRfwqJxr9ZgKB0QM9GFe\nc5ueBtLYRBhzkCHnkriN4xtyGTSyxduw8s3DeB59Ctn3GZcCAj5l4zj2jx2MnlnLlZMlOOmtezbq\nrmqsttuwcb9gyyO2cd+wM/ZzJk63J7BbkwvYycmOidO8OXl6JaJ4aypJA5//JZuDzevYGoBNMRMY\nMXPOTfcnl8tvK7VEo9HgNbYCE5bSjSWk4IF5uk6Zy3GiZnd8EmIymZArS5vHKBlan2uLQVepHLSF\nhonrGPR+Ggtfurn97vLycjIzMzAYDGbtQSFdqFVds3pNPaX4M8KsTYU9XvShiqZrJESMtebjLjlu\n12yEb8QrbzKxq46icRUwYr2QhcLJYLXdho37BduK2MZ9gSRJiEI+CoWlkMHQkQ6cOHGYiIiYm+7X\nNygI0/LVrPjP+2iSkxHVarQRUcx4+ff3rFbr029O5j81y9EfGoJbXX9qVJnU9d+LU6k9UnZL/dt6\nRSFdHs0kqPusDvctiiIyWcukxaVvLmKCaGHE6mXFPPTHcMbPirzp8ZcUl/Ht/yVQeyQQebUXUuhh\n+i6UMf/5Jm3kgcP7sWPYZkg0T8sxoqeWfKsiIH4M5hLbMKLFhQDcQjPMjpv01v+vZCgwNIrM+dlY\n/v7VLrpkmq/EtdSQln+ctZ+amPPkBJu4hY37EpshtnFfYDKZUCisC/y7uWvITLNUyeooXXv2ouv7\nH93y9Z2Nvb09//vlAi6nZnDhxAYi+vgxeORiCnKL2PHpGqqvqFA4meg31ZEpCzpuhKEpstqobwns\nmvqshi+PvY3fud81G2M9DZimbWXcjJuTwYSmCdMnyw7hmfgkDgg0UknZpRrOvilh75LAtMdGIwgC\nj783gm9+/S2qU9E4GQIpVJ4g1+4ADg3eWBOHbqSSOgoBcO1fzZxnzQseuPfXwlXL68pcjjNzdj/s\n7e2Z8Tdvdry2Do8r01HhQC5HKeMKI/L+QeFrjbz+3Qae+mwgIeEPXr6xjR83NmWt+4yfsmLNuo1/\nJnqSZapQ8tlS+vR6Hj8/86IAP+Vn1RYpKUnklWxm8LAmEZLaGi1r364mc3svZCYHHAYU8taGF5pX\nh6IosuWrg1yLNyLqZLj30zHvhTG4uFpqcB/Ze4qjj4dib/LlIhuxxwMfBlBNNoXuB3g7/mE8v69P\nLEkSJ4+cJTe9hMFRYfQI6cbnr2+n8ZP5KDBXKTsp/xC3QCU9I5yZ/78j8fUzFxC5kpLJqqfz8M5q\nKWvYIC/G6Zl9PPeX2c1tVVVV/GbUCmrLDPRnMe6YG92qMSv4w4bZWMP2feo4tmfVMTqqrGUzxPcZ\nP+Uv+IlTBzAKcQSHtiQc1dfpOHHEjoULfm1x/k/5WbVHxtU0zifvoSArk8aLgdQfH4FPSVO+rp56\n7Jdt5dk3ZiJJEv/8xTpkG5qikaEpf7hk4Hf8avU43D3MVZpWfrCb6r8tII3N9GCiWdqRhETV+G95\nZfU8WkOv1/PB81sw7IvArbEPWmqo6rOLeW/1ZMDIsDY/07WMXHb99xy16XYonEyETrGUg9y+aj8X\nfjWEGnIJxNLtXmp3jqWHZHTv2d3imO371HFsz6pj2CQubTxwjBg2nqQkOXH7jiDIahBFNRpVTx6e\nt/ReD+2Bo1fP3ri5evPhq5n4lMZwY2y4CgfyY51p+H0DZ49dxLh1Is60rH5lyPA5t5TN/17D038y\nV7DqGuJCvlAAkmBmhKEpkpnEEaSevUT4IOtGVaVS8b9fPMyF02mkJG7AxUfNxIcmoVS2Xzu4W68A\nnv9HQJvnGA0mDDSgxnpFLaXWnaqKHOhcVUkbNm4LmyG2cV8xdGg0Q4dG3+th/Ci4euka9qXW82fl\ned0oLi4i7VApzoZxlHCRGnLxph/O+CEgUHZeZXHd2Kkj2TdkFeqkYKv9umhDuHJhU6uG+Dr9hvSm\n35DOz+2d8FAEp98/Q1WBAR8so811wUmED2hSKquqqiQvp4Cg7gE4OTl3+lhs2OgotvQlGzbuIVqt\nlpqa6jvSd/eQIBrcr1g9ZuySjbe3D7WN1SSzEgEZ3YimmmySWYUJAzKl5a6VIAj8/ONx1DtmWu23\n0vE8/UeEWj0GTfvGCXtO8sUfdvPFq7tITrp4ax/uBnQ6HRkZ6VRWVuDk5MzAZ02g1FHKJbPzqtXp\n9F8qx2Qy8a8XN/F+ZDpbJ/jwj9HJfPz7LRiNLcGCoiiyY+VhPnx2Dx88tYd1H+9Bp7OeHnUdrVbL\nycTTpF/KaPM8GzZ+iG1FbMPGPeD82bMs/+NhhCthqEUPHMJLiXrWhzHTh3baPby8PHGNicO0IdJM\nccqIDp8JFTg4OFCSaqA/jzUfCyACXwZxkY1ERlifp/t38yP6fzzI+WsxDmJLupkJI3Yx5+kZal2b\n2mQy8c/n18P2qTgam0RDtn+XStLPtvPUqzNv+vNJksSq9/ZyZaMCeUYYRo9MXEYf5um3Y/APy2LL\nhzu4kL4XleSEV285EYt9GT83hvd/sRHF+sX4XH8mBd0xfNXIh85bWPKHyS375hvno6Fpj7xwh5a3\nDi3nd9/Nxc7OzmIs6z7aT+oKGZqrwzCoy5EP38b8N/raIrRtdAibIbbxo0eSJFJTz9HQUMuAASPu\neS7plm1fcugflYRc/lNLpaNjEH85CY3TBYaNuTn96rZY9s9pfK1ZR/EuP+zKe6H1voTn5AKefXMG\n55NScUodb3GNEjtk9o3MWzbdSo9QmF8ECgP1076l9kpPZNndMXkU4TW2jF/83bKAw3W2fn0I5eaF\nqGkJYHFrDKfwMzmnY5IZMurmJDU3fHqAwn+Oxsf4/WSgPAxpi8RHtV/zyuoFjIyxrJNcUlxK9YEe\nLXrUzZ9ZQ+ZWexp/3cix/Wdh88xmI9x03A63uMfZ/Nl2Fv3SXH97z/pEst4ahI+uW1ODzg8S+vHd\niyv5425/VCpLF78NGzdyW67p8vJyoqOjycrK6qzx2LDRqaSmnmbNhj+il23B2TuOHXv+xIGDG+7Z\neM6cOUbBlQsEXv6VWblBAPeKoRxZnt2p99NoNLy+/FFeTOjG5O1Z/PpICC/+cy5KpZJrl/Jx1vWy\nep2rKgCTyTyvW5IkPn11K5+NL6HstYdx2fFzTIKeIe9m8fvEwfzyX3Oxt7dvdSzX4o1mRvg6btow\nTm/Lu+nPlrZFj73RXABGQEBIjOTcqVSr12SkZWFf0cr+da4/paUlXDlcg4Poa3FYgZrCU5aXnd9Y\njdN1I3wD7imziV1zpN3PYcPGLRtio9HI66+/btVNY8PG/UBVVSVpGesYP8Ud/wAX3D0cGD3OCxfP\nFE4lxd2TMV3LPYlU6Wm22rqRhtw783vy9PRg8IiBZkXjB0b2psLFimUBCqvT+filvVRXtexfb/7y\nIPVfTMGrIhIBATVOdL28iJPvypGk9iVIRX3r0qBlhdUsfyeWNR/FUlVV1X5fooi2wLqGtKs2lPSz\nuVaP9erdnXqPNOudBubh5eXddnlqKwd1pdY9LGocqcq1yWvaaJ9bNsRvv/02ixYtwtvbu/2Tbdjo\nAHq9nt1717Fl+/ts3vYBR48d4HbS3BOObGXUGE+L9sDuzlzLPXE7Q71lZDIjGq+GVnWRlR56q+2S\nJHE8LomtK/ZSUlzWKWMJ6h6AJiYVI+b3rCEfO8mdku2BvDr/Sz54JpZ/LtrH4Y8K0IiWz9M7ezo7\nvrUsrPFDPAcYEa3IatVTQt5+O+refZjSPz/EP8edZ9/64232JZPJUPtaf4bVqgx69rNeJtLbxwvX\n8VmYMDeQehroObsBjUZD70lu1CksV+gGGvGPsOxT42d9HI1U4t3LtlCx0T63tEe8adMmPDw8iIyM\n5NNPP+3wdR1Nbv6p81N8To2NjXzy2WuMmWCPRqMCJIqLEtm24zLPPPW7Vq9r7Vnp9XqyriXTaKzH\n2cWOQUMCzYQf7OyM9+Q5uzgH0HdeI1+t+Rb/zGfNjtUqsol8zNtiXCln0vnyhSQUJ8egMflw3vso\nQQtP8ZsPFnS4AEVrn7VvtDdbN29AhSN2uNJAGSoc6MsjnOITQpKfQpV8PXd3m9U+5CiR6+zafZ7P\n/Wk6rx5dhduJx5rlNg1oSWMLgw3PfN+Xgi75Mzjy5l4mLdDj6eXRan+DF2q4cqEcjdhyjoSELPoo\nk2e1nnv+2rcLeddhA4W7vVEUdsMYkEH3OdW8+M5DKBQKHnpsPBcPr6Dm64k4fu+i1lKDaeYGnv2/\nJRY5zxOXdSP26CWca81d3o0jd/LYzxchl1tqa/8Y+Cm+p+4Ut6SstXjx4uYXwKVLl+jevTuffPIJ\nHh6t/2jApqzVEX5MijW1tTUcO34AjcaRURExbb6Qtm3/iqFR5SgU5ufkXKtGKU1nQP/hFte09qyu\npKdw+twKIsa4Ym+voqysjsS4DKLHh+Di2rSHGbdPZMFDv73NT3jz1NfXs3HLX/D3UXPwra44pTyM\nWvQg120L4UtFnnrFXH7RaDTyxuRd+F54zKxdK1TS9dVDPPKiecWkM2cTyciMQ6aoRTSpcNQEs3TJ\nMsrK6gBoaGhAqVQ2G5Nv39xD/b/mY8KInjrUODcbyQusph+Lmvu+yEaz8oXXqZMVMvSLZGJmjGr3\n89fU1LDxw3hKzymRKSTSr16mb/bvkGNu3EREXH+/gcX/M7XVviRJ4pu/7SJrswN2OQPQOefiEJXB\nU/8Y26YBv051dRUF+UUEBHbF0dHJ7PskSRKHdhzj0v4aJKNAQISKaQtHt1obe9fKIyR9W4d4MRjR\noQqniFwefWMEXQO7tDuOB5Ef03vqTnLXJC6XLFnCG2+8QffulpJxP8T2H9c+99MX3GQysSv2O7SG\nTASZAUl0oXfwePr2Hdbutbtil2MklSHDPWho0HPmZD3BPWYweJD1aj8bt73J6HHW9/yOxdkze8Yy\ni3Zrz0qSJFate5WJ0zws2mN3pDBtZj8uXqjEy3Uu4X0Gt/s57gQVFeUcjFuNRBFZaVVoa514fNmz\nBAVZ/oZi18WR9sLoZvlJs36GrePVnS2G6lTSYbTiQUJ7t0iE1tbquHjWFXflSBI+K6Iu1QU0WjxH\n1rD4z6M5HXeRC8+PwB5Lw/VDw1tCKjpqCKDFPysiUj72S15b98gtlYd8c/J+3M5ar11s/+J6nvjj\nlHb7qK+vJ/3SVXy7euPraxlk1VFu97cniiJ5ebk4Ojri7t7+ROBB5n56T93P3DWJy9upzWrj/mbN\nun8SGSNib9/yYr9wfiumZBMD+o9s9bojiXvo2uMaXfyaIlpdVArGTbLnSNxWugWFtfKSams+2PG5\n4vnkU4QPsJRLFAQBlVrJnh1lhAVPumdGGMDd3YP5c19o+sO6DWqmskBr1QgDGCrM02Iys+MYN8nV\nrM3JSY1CncWOF8MIKH+Y6/pR0gaJf+d+xSsb53D0m61oTj5pFsVdwGmc8Tfry5twijjPWcf/4O3i\nj9zeiM8oLb95fYbV94AkScTvPkFuahVe3eyZMDfSwiviEqqFs5afrVaZQ/+RlpMpURQt+nBwcGDg\nkJtLfboTyGQyAgOD7vUwbDyA3LYhXr58eWeMw8Z9RmbmZQJ71mBv727W3m+AO3H7DrZpiItKzxLS\n39GiPSLKmyMJ25g180mLY3KhC0ZjhYVrOjenmkD/9l2e16mqKqNbmPUAGVdXZyIG/xY3N3erx+9H\neg7y4pAqE2e9pTCEQ1BLkJDRaEShrAEr6UGDh/sQrzJX76pVZmESi/j6q9foNs+VbMePqD0egKLR\njUrpGkbHctyMPUBr3pcP/fGdn8LP345pcxJeWlLOx88exP7EVBxMXSimgqOfb+OJfw+he0hg83lT\nloWz8thuvLJbVr5G9JjG7yZywkIAqquqWf6nQxQfc0BsUOAa3kj0c/4MH3fvja8NG52BTdDjLpOV\nlUldXTVhYX07JHR/r0i7dIpho60bLEHWdnqJTK4HLEUM5HIZgsx6hOnEmIWs2/hXJkxzRa1uei5l\nZfVcuuDMYwtbjH5NTTUJiduRJD2hIQPp1XOQmUEYPCiSw0fjGRlpGc1fW2Vvlr7zIDB8zCD2jVmL\nuL9b894tQJVTKqMe82r+Wy6XYzRa34OvrGhE3tByboXrcXr93yrGzXNHEJqeU0rIFVjmRkivYLRa\nBzw9vTi04Twpb5/Eo7ppf76CTDK9V9IjJZR/PLKHoLEC85dNsLr3v/yVBDyPtqyyNbijObuUVX/4\njlc2tBjiXn26s/ArkT2frKHyohqFxoRflJHnfvsQgiAgiiLvP7kbr8Sn8bu+Yi+GvSlHUX2exsCI\njulVS5LEhk8PkLHbiK5cgWM3AxFLfIicfO88IzZsXMdmiO8SVzMvcSJpNf7d9Dg7K9mycx3uzkMY\nH2NdDvBeo7ZzoqEhD3t7S4Mqim1/bUSD5WoYoKFeh50q0OoxBwcHFj38OgcPb0KnLwBJhqf7MB59\npEXF6FTSIXIKY4mI8kKhkFOYv53lK7az8OHfN6tlOTu7IBl6UVZWhKdni7hExpUqArpG3XdbKYWF\neRw7sRVBVoMkqgnwH8qwoWOajwuCwK8+m8HXr62kIMEJah3QhFQw4gl3omeONDtPEP0wmYzI5eZZ\nibFrC/CtntT8t/3UzcTMb3L7Zl6u4sqZRnoNsCOv+Dhju0xvNqxzn4mmT0QG8WvWUFlUT9lxOUOL\n/wgl34/9cD3vXVjNy58+Yna/mppqqo760sVK0q14ciBX0tIJ6d1SNCK0X09CP7ZeDunA1mM4Hp1t\nKX5SMorD36zusCH+/PXt1H42BZfrEdZXIO7EefTvnmTcbMtAQBs27iY2Q3wX0Gq1nEj6mglTW1SA\n/LpCzrVUTpx0Z8TwmHs4OuuMjpzC5h1HiZlkrlxk0BtRyNouRdev70TOn1nLgMEtK2pJkog/UM3C\nBbNavc7Ozo5pUx61eqy+vp7s/FjGxLQE43Tp6oSnl5Fdsd8wd85zze2zZjzNwUObST2XgiDTIZkc\n6RE0kSEjR1vtW6/XIwjCXfdQXM1MI/niciJjPBGEpolEbvZBYnfnMHXK4ubzHB0defG9ORiNRnQ6\nHfb29lYnFNOn/oz1m95m4DA5fl2daGjQcyyhCl+PKPKURTgY/KijmPBJtdTVyvnuZQHhyKO4Nw7h\ngOYcDYPX4usZx5gxLd/H0PBehP6lF5/87w5CiheZ3U+FA9odMZxKOMew0QOb2+vq6pDXWg9WUmt9\nKC1KJqQd+1lVWcXGfx8haWse/STrAVt1WR3L0S0rLSd/Uxd8RPMxuVYP4PjX6xg3u5ULbdi4S9gM\n8V0gLn47kdGWLtHAbk7E7z/BCO6uIW5sbORi2nlcXdzp2TPE6jlqtZrewXM5tG8TEaM9sLNTknOt\nmovnFTyy4KU2+w8N6YdWW8/hvftQ21djNAoYdV5MnvDSLevuJiTuJCLKUkxCqVJglMzFFwRBYHzM\nQ8BDbfaZdukcF1J3oVRXIEoCJr0nEcMfJiCg/QyAzuDM+W2MneBl1hYQ5ExBXgpVVZUWbnSFQtFq\n+gw0eRUeX/xnzpw5xqmEdNQqJ+bNmkHXrh68W7aWzNVuaAr7IokSa16T8Nj312Z3t0fjYNwTB7FX\n8YGZIb5OZYoaV4tWcNb3IOXgaYbdMMfx9e2CELIXki3dvvVBJxg4vO2o+/KyCv71aDze5x5DxS5M\nGCzSmwBUbh1TrTqyOwnPkjlWj9VddqWhoaFNaU4bNu40NkN8F9Abqr4XqbBEJtdabb9TxO5eQYM+\nhbBwDUWVeo6tkTNqxGJ6dLc0yAP6jyQkeAAJCTvQG+oJDBzN0sXtpy5dv3ZA/5E0NjaiUChue7Vp\nNDSiVFn/ugqym5cRzMu7RnrWWqIneQEtKkz7Yj9httsfcXS8s2IFkiQhCKVm977O0JGeHDu+l6lT\nHrG8sB0EQWDIkFGAeYDb47+fRtWyKuJ2HuPK1XoajkzH9QfCegIC8vODKS0txcvLfIIgU1uXsJSQ\nkKnMj8lkMgYvtSf1tXScG1pc0PXKQno9rMXBwaHNz7Dxw0R8zi1GQKAbY0knljDMPSkN8mJCp3Rs\nRezl58oVWQmOouWzFhwbbEUZbNxzbPWI7wIatQcN9daDlETx7s3E4+J34BOQgVJVR9zBy1xIzkah\nKuJw4lusWf8OxcWFFtdoNBomTVrAjOlP0L9fx4zwD6/vDJdvSPBQ0i9XWD0mmm4+AOtE0g5GRnlZ\ntEdP8OJw3Kab7u86RUUFHDy0gytXLIsOnDt/gh07lxMXvwuTyYQoWd+vNhlF5PLOd5O7uroy+7FJ\n9A6dhKrCuidEVRVEYV6RRXvXSJNVWc5StyPEPDrAon3m0jEMfS+LunHrKA7eTE3kOkLfPM2Sl9vP\nC65MtmveE1bjhAsBpLIBLdWIiBR7HcJ12UFmPRHdbl8Ao2KG0zDooEW7iIhPZG2bXgYbNu4Gtm/g\nXWDMmBms23SSSdPNI3kzM6rpHjDhro0jNW0/ji41hIT6YDCYGB0dbHZ8z44PmDf79U5300mSxNFj\nBygtbxLb9/Xuy4jh0TcVOBUSEs6p1c509ddh79Aisn/6ZDn9wx++6THJZHVYi+xWKuUYpfaLMUGP\neAAAIABJREFUDvwQg8HAhk3/wsOnjLC+bhTknWDFahkTY5bh4ODEhs3v0H+IjOFjnKmpyWXNxnj0\nWusruqNHSpgx6YWbHkNHiY6exJGARMi1NMa6gBR6BA+xaH/klxN498K3KPfOwMHkh4REqetR+v26\ngoCggRbnA0x4KIIJbe8OWEVQmutRd2EQ7gRzgVUoB6fxl29fxNun43WbBUFg/l97s/Y3q3C/OBM1\nTtQqctFH7eGlNyyVuyoqKtiz8gQmncDwab0I6WO9QpUNG52FzRDfBVQqFWMjn2N/7Ao8fepwdJST\nmy3QxWskI0dbDyDqbEwmE5KsginTB7Jv90UmTLaMlome6M6huE1Mn7rYSg+3hiiKfLfq7wyLFAnu\n1+SSLCqMZ9WaJB5d+Nt2jXF9fT37D67FJJWgtpPYtKYc/0BH5HIjSoUnYSGLCAnue9PjkiQ11oRC\nJEkCsf16xaIoErt7JQ26qwgyHfl55fTuZ8/AQU1R4T16udGjF+zd8SkqpQtTZjkjkzU5oJydNbi4\nFpJ6oYTN69XY26vwC3ClX/+unD2dQ8blGjSzrauMdQYajYZe83RU/qsCO6kloE5LFYGzanF0tIx6\nV6lU/N83C4nffYL0xCPI1SJPPNaPbj06P5fXL0KiIk6HAjWNVJLMShzxwY2e1J5R88bcjTzxVhRD\nx3T8/73vkBBC9nZjz7pDVBXqGDDIk1HjH7b4/u1cnsCJd+V4F81Dhpx1n5zDbd4mnn977n0XcW/j\nx8NtS1zeDDZJNCgpKaG+vo6goG7NL+YbuVPScfHxsXTpcQYXFw2H9l9i3ATrNVmPxyuZNf3FTrvv\ngYNbCQpNwdnZ3LCUldZRWTSKyFGtewTq6+tZv+lNJs1waxb6aKjXcXifkaWPvYKPj8tNPav6+nqO\nnziIWmWHWm2HqNxP957mqlVnk0rp3fNZAgPbDthas/59hkc24ujUsqq9mFKASZTo179rc9u1rCpO\nHivk4UdbJj6HD1ymd3gXfHydm9vSUgo4eTKbmAmhaDRqqksiiRjZOUF8rUqBvreH9B1gKnRD5lNJ\nz+kSS16eYmZwiotK2LP8NMYGgeAId6ImDbvjBkmv1/OPpzei2jOHVNYzjOfN0peKSKbcI5HXDk3C\nx7fzqr/V11bxzvBMfMrHmrU3CuX0fOsIc568/7Ib7hU2icuOcdckLm3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s7KmtVrN6RSaL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VODe/cl6vOFZHTqVO/arvsPMKdny9T63bgnnb+fOkb+8GEoBgNeWzdwt0bP45NubYnVO4HsI25l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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1111f3400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "X, y = make_blobs(n_samples=300, centers=4,\n",
    "                  random_state=0, cluster_std=1.0)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have some convenience functions in the repository that help "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from fig_code import visualize_tree, plot_tree_interactive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6uDD700/RNryar2FoWRmXahaklzVxNSkvLW1RXEszYtQoEhYv5rJSWWe7rlBw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\nHdnBRXzw1+39In/Oc8OpCkq3KmuVlRK2rA5fte9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o8+dIw9sk1yaQMiGlIzvT0L03HZyH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\nH9erY0+ktM3fAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a30bef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tree_interactive(X, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n",
    "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n",
    "\n",
    "**Question: Do you see any problems with this?**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decision Trees and over-fitting\n",
    "\n",
    "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111a06a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PT2dJRgaONL2JOOjpycCFC5GfOQPtVwZ7SF8SwP7cudYJbmbIudc5lu5fOMIx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\nhBBuJoOvEEII4WYy+AohhBBu9v9v1eBFzwLkBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111a06470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1119a3828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3ejVZf/sbMW0WFzkYFMSg55830hoMBhBPtgJBj0JM4bFSEw1EL1jQXDZhAhQW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\nCIIgCBohk6wgCIIgaMT/A4n8Od/e5HT3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11210d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "clf = DecisionTreeClassifier()\n",
    "\n",
    "plt.figure()\n",
    "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n",
    "plt.figure()\n",
    "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ensembles of Estimators: Random Forests\n",
    "\n",
    "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n",
    "\n",
    "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n",
    "\n",
    "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/E659xaT8VtgqXlxi/vNqMBjuaS/n0hs6FM3M/1cXtN+fgt3bD3Hx/7zxqp5X\nO5M7C0rO3uIvOa/ydrr5FoASwPnMGXSLFnWdP1A2Zs6MaA5/swm/6w+alBvQ0yu2GCyuWRC0J13G\ndj5w7BgzGw+8dUy6cYM1X31FeON9We3Uwu0OGktJNvylQfgDpKfTD+gXHQ3x8fWai4ed8X9gUv1x\nUarlJBtR8fFEzZ9v2r+Pj+nxPV7XjBA5M+JS6uJzBqrvmP95aL9+HHNxYVRlpYnEB+jd60uMvhLy\nrtQ+uQZ4nOOFJwPxydNDXi4cPszR48e5sXs3yps30Tk7o/f2ZuYvf4mDQlHXl2nq0doyc5vMU1bE\nDaotDsBOjrfMrcdm2rmTpviQGydPZ5N3s4DwvmEc+f4mAdVjTKo44012or6Zt+igqKpCf/gwclmT\n3+hO8DOetnEjF7/6CnllJYaAABI8Pc2vs4NjdgZmzs5h83fr8SmejRQpVeSjGfAJv5niZ3f3sEto\noHsk2Sjbvh0LGYIBUOp0dmHPdhVNfkEBRwsLYf9+IsaORTVgQKvbsbfczh2h6aVSkbhoEVlffUVI\n3VOwAVgDPJxxidOOn/Pwf/9AeN++SFMNJu0cS0zE7bPPmF9R9764uBhNTg7ff/cdj773HnDbFjfd\nM9eSTdY/vD8vH/0e38uPm2jLXM4zY4mCGF/TOs2105Im41o+P+y9hsvlWbgaRnHMIZlMXSbeVKLE\nxaReT/WrbHP7glnl5jPVKwYMwGHs2A57ZWUtzb6NG3HZvp25dV+0dMD6Xr0YOWMGwb172zTm+1Uq\nhs4uYd2H71DjGMjQgTKmTZ6MVCql3Ghk79GjcP06ek9PRgweTJAd3+dOo2mBLuPqGFxcMIDFWa+G\npqn/BHfNrh9+QPbpp8wsKkIKXPz2W767/36WvPaaxW35OhNVajX79++HtDTGTZ2Ks6Oj1dqe+/zz\nHHF3Z92qVYTn5mIAJlObjKR/cjIr//53+nz0kVm9nD17GgbeOpTA0MOHuXTxIgPaYKs7Ojjwwjs+\nfPHvjyk/E41M7YEk4iRjF+pIGBvdonXeWla8l4l/2nP1x141KuKI4CKrGYTpUi2jTE3W2ARydm6h\np1ZbX37Ux4c+S5fecywdTZVaTcXnnzO+kcMhBx68fp3VH35IcNOMejbA19uTZ+aGmwwSWZmZJL71\nFrOvX0dB7XyJfZs2kf3aa4yw8paPgga6jO08OjqaPZ6eTGqy3rMYcHR373Rb79mjJis3F+cPPmB0\noz8uA6uea2GBAAAgAElEQVSr6bl+PT+6uXF/K/Ib29uWgrfL9uzZQ/WWLUwsKABg90cf4TR9OhMm\nTLDaPYwpL6dcrWaqeW2GnTvHxa1bibp506RckZVlQV173zdv384AqbRN8UQC7/3cmeu3TlB++CgR\n0x9AJlVYts5beV23y85m5KI9/YDZaSkyHHBDixoFDV9oDOEbeWHRXPb38uPEiRPIbtxA27cvqokT\nGeDp2Xprz05+Vw7s38/k69fN6wDKU6cwXrrUkAHNTmIGOLF8OQ82ilsCJJSUsPa//2Won1+D9W9H\nMXcKDXQP29kPcPz1r9m6fDmTCwtRAEkuLlyeNo1FM2favz3RCTSnfvqJOU3eWwJ4AuqMDHj66U5p\nO1/QavFevZrBjZ4wp+fnc2b1ai6OHcvA+Hir3MPK0lI8Vq40rwf46XSccXaufZfcqJ7O2xua7DUM\ntV8qXQcNatC2MZ5eAN7eVv35uZZdjbM21Pwc4CB14ZbkIv76oagppSLkG555IwRJZC/GDxgATz1l\neZvBTmQ76y9dan69uUyGMTISSeMJc3YQc7VajXtmpsWYx2Vnc/TWLe4bO9auYu5UmhboMrYzwJgH\nHqAiIICfUlPRV1cTnZDAsNBQq9hpApCp1c1ay+XFxaz57DMUubkgk6GNiWHquHH1iTfsjdLycvZv\n3ox+3z7ycnLwraggHEwmxgyuqGDd5s0MnDvXKn36urtzMCwMLl40O3fc35+RcXFmOypJBg+mKivL\nLG3dj5GRPDhpEvbEqGHh/OhzGN9C82d755BsFvwS0i6dwDdQwcwQV+SRvWwQZftx39Sp7P78c+5v\n4l4AaKKi7mmmenuhNxiQNzMb3xHQqNUWzwnunS5jO9/GNSmJ6bdnylbfeSaqtfvvyhpXb2+LWamK\nAHVmJo9cuFBfZrh4ka/27mXpu+/WbhNYR1Pb2VB9jaboq7OQaRo0VdWYHANoqrNw0zg3W8dSmb46\ni2NnckgrS0PiWI3EtQSpaxmL8vJwB1YCMzFddCEpKUCTftY0P/hd3kPJkSP4jBpF6pUr9G/0Ry1f\nKqUyLg737GyzerP8/fl+7Fj6nTzJ8KoqCoFdvr4MXbIEWVraPcVjbY0PEDrkKkU7R+LY6C6WKTKJ\n7JnLeK8gxse7NdS500zmTmY7uwOSiRNJ/uEHVHXvsI3AVg8PBick2GUueVeguFcvsJCedb+/PxP8\n/RvitpOYO40GuoftbLO2u5FmXEQEX549y6NHj5r84Hzi7s4rZWUmWimwIDeXPamp3L9gQX15U9u5\nZvgIjE1sZ21UINJGZT5RBTgotSaamqg+JvWa1rFUdqzmJuVVZxib0DDr1PhoHF/+ej2/2HiOpcAG\nYF7dOQOgGRqN4f6J5tb43d5DlYqjffvWrkfOzEQXGIjLhAnMWbgQbr8PbFRPBjz09NNkZmWx+cgR\nPAMCWOTnh7TpRCs7+fn51Tv9+ZfbajIueVNzSw5eVwhX7CAg8wob3lWii41l2vPP1z7Jd8Hf76kq\nFaeCg1l34QLy8nK0vXoxJi4O/0ZL5+wt5ogXXmDf73/P+KKi+rIUR0eUjzyCU0xMs/VsGXOn0bRA\nl7KdBe2LTCZjyd/+xsaPP0Z65AhSuRxtRASh168jOXXKTO8KaFrYVrCjSUs/zdiJ3iZlEomE2N9M\n4sCBdMYVV5usE9/Yvy/xLz0D2TlWjWPUpEkwaZLld5zNEBoSQmhISO2BHbxGuZmXx+HvvkORlYXe\nYCBgwQJGjR2LVCplyZx4+J2KnGvp3Ph/v2H2tbT6evrkZL68fJllP/95s+9HOztDBg5kSKMvnPbw\nebVE9LBhZLz8MmtPnkSRk4POy4veUVFMXrTIan3cKi3FaDTSw9PzzuJuQpezne3OeuhiGidg/uTJ\ncHtyELD+v/8119dhUKtNPv+mtnNldbZZnaZl1tIgKQe8zXQ+ge5c6OUFxdXkKhVs8PWmatggBvzu\nWVw9DGj3NJmRbSefxb1qig/nmMwib+1WagXZV8j+72+Zl5tZPwfgSuJJVs76GZPmPMm1w7U/J6c+\n/xfPNBp4ofZJftaJRNa4HSNhmenTe9Vh0FSWkVOUT4hfENIk83jIKsatT4FJUVl6mclcBHvbWs5e\nNftOXuB8ogZ9jRIXYw0PPvUCnq5udZpkCpJb105LmpNr89l1RU3llXAkRinOfc4wPryEkQ+2/eeu\ns2mgG28p2CFtCw2eM2aQd/Ik/gaDyelzjo5EPPSQSb2mtjOAg4XZzk3LrKOxvN67ulqD061K1ID7\nb59m0qu/RdbofaTFGdl2+lm0RVPNUJOy1m6ldunrJTyam2mi66PVkLF/I3nP/BGneD98VeBdYtn1\n8MFIuVSOVtXwl6laXc37H6VSvdqIQ9EwagIu4xmt5OePDzb5LHRRgbg2ibGSoSafs71tLWePmu92\nr6Po2wTctL2RATXo+ce/1/DMP1X4+/tbpa+8vDzWH4mkZ/60homMFxLYmreTgCcD6BnU027vT0ds\nKdhVnR9BO7Fv61bW//rXbH7nHdb+8Y+kJScz/oEH2LdwIWfrklIYgUOenlyfPbtNSSDaG2/PEG4V\nVZmVn/joMENySvlmxlQm/79lJn/sOzNGo5FTSUlsXr2aqznWs86dkxMtlk8ozOX0ju/qj7XOrpbj\nAnSOpvPg/+9P63E7tJDAogl404fAm1OR7ZzOl/9Zb7W4BbVcz80iZ20v3LQNcx+kyAhIXciGTw9a\nrZ/tqw4TlP+AWXlAwWR+/P641frprIh3voJWs+F//5fhX33VkI0oNZUDx49T8/bbLHr5ZS4PGsTG\njAyQy4mbMYPA4mLbBtyEKVMms3HjNq7Ishk8xIfi4moObkzBq8iDS19+wJIHZ6HVFd25oU7Ajfx8\n9ixfzpizZ4nVajnj5MTXe/bw4Btv4OhgvrNNm5Ba/nKiB6Tyhnnh0vhpFB3eRo8m+ynv9/IlLOGp\n+uPcvFzKj4Tg1+TPkRIXrh9wRP28GkcH62Ub6+4kHTuDT/kss3IJEgovKazWT9VNOQoLixMlSKjK\nFUOPuAOCVlFUVobHxo0maQABxubns/abbxg0dCh9e/em79SpFBQXk19QgKdG08weOg04XsjFUWm6\nztCpyUSkpsf3olk2YCpFpSUc3pVED7cQ/jAwBsmDdbmpL+VZngR1pRBUzWUOt0/2fvYZDzdaTxxb\nXU3Uzp2sc3dn0auv3lPblYNGY8xKM/uzuiOgN8OnP8Lt1WP3LXiO9VcuMGT7NwypLEcP7PQNovrp\nP9LHN7S+3pX0q7iWWt7MXZbXk6LiAnoGBFs8L7gLWsgDK7Fijlilpw5jM+ccvC2vLe5OiMFX0CqO\nnjjBtMJCi+eUKSkYDAbKysvZ9uqrBJ84QVBZGXv8/dHOmMHsZ59tSKvXgVzOzubivn0gkTBoyhTC\n68p7eHgya9TE2gM7n4l6N1y8dIlhaWlm5QrA+dgxtDodCvnd/+rHPv8OX145z5LkpPrdYY+5e6F5\n/DVcXdy4vceSRCJh2qsryFjwPB/+sA7XYCeGzHoCTw9vk8k8ffqFs889Feey0WZ96f1y6OFl+mWo\nuLiUtf9NpDTTAaVXDUNHRaKK7FxfjmzJyDHD2bj7CH4lpsufjBjxidI2U6vtTJg/mO92HMa/zLSf\nArcTzJtrP6+jbIUYfAWtwsHJiSpqlw81Re/ggEQiYdNHH/HI2bP1X6z75OVR9PnnbHNyYvqyZR0X\nLLBm+XL6rF7N7LpkFidXruTsxInM/Z//6dA4bEFORgZjtZb/iHqWllJRVYWXe3Ob+d0ZH7+e3Pd/\nB1i96n3kGcmUaj2IWvYzRvWLtqgP6xuF69wofJuZjBLoH4jr6D3od8Qha/QnSUMVPceZWs6ZV6+z\n6qEMfC49hBQZ1cD6bw+T86uDTJp2311fU3fC3yeIvktPkfV5Ml7VtR+KFjWFg1bz4jMzrNZPeJ9w\noh+9ybmd63BKG4kEKVX9jjFwUg8iI/tbrZ/OilhqJDSt0ozT69kaFMTcGzdMyo2AJiyMi1u2MOLC\nBTNHq4fBgHrLFhgxAri7jRXaGvORpCTiVq6kd6O0ecMqK/HeupUTERHENU4cYGf32RqaaA8Pkhwc\niK+pMata0KMHHtnZIJWabViRbaGrpmUNx84MinsF4mrLXHXUP822rZ1a5j84j8+uroabATiWhaD2\nvowiqJT5U+aZPCWv+9/z+F16wqSub0k8B/93I6peNSgVDnfVf3fTTIifwQXvs5w/vB5DjQwMEh5/\nagG6XCcKcq3XVy/daOJ+r+d8chIGo5Fo1Qxyj8lNPlN7vD/W0AAEiaVG1mu7IiSEGo2mYbG4nS8n\nsZZGCfTs358f//Y3JuflIQXKgPXR0cz4wx84vHMns/R683YBp/JydP36IZfL77ixQsqFC1w4eRLF\npk0YFAq0gwczacoUvNsQc/733zPaQr7acL2ec+npsHixxXrNHncyTQCwd9QoYvftM1lcdU2pxHXB\ngvrsWJY2rLD0dNq0rH00Tjz/hyXIg26Re/MGvXuNovqam4lGq9NSedkHL/Om8c2dyMUbB5ly/yQb\nX0fn0SSoYkiYU/tFtCC5PfuSETAwrv5YLrP9tXeUpiWE7dxKcnJyOLR8Od5Xr+Kk0XCzXz96jx1L\nXBvSiXV24saPpzA6mk2rVyPLysIhLo6lM2agkMsJGzCAVIWC/hbszmpfX+SteMeYcfUq1197jQWN\nnq6NWVl8dekSS7/+utXvKaUtJIOXVlc3e64r8eCyZWwKCUFy8CDOJSVUeHnhMX8+UxYuBECr0/Hl\nDwfJSU9BVynDLVRD1Mg+TFbF2jRuLw9vvDxqE6E0/aSMRiMYLM+0liJD18yXv65EcmoyRQW3iB0S\ng0szS7kEnQNhO7dCU6PVsv/tt1makdFw/vRpTiYnc8HNjaj+/S3Wa694WtKkX7tG2pUr9O/bl77B\nwWaaC+vWcdVgAAcHxowbh7e7e5v68gHmjB1be9y/P6SnAzBIoeCrgAAisrNNrOciiQTH6IaN2luy\nnU999hnzm9jaEmBeejp7PvyQqRMntur+GL280FI7wagxNcDFnBzuS0zEy9X1ju20pi971ciPHWPe\npEkYJ05Eo9PhcOIEDBpU/zm8/cEVDMd+i+/t/XWz4XhiInCawdENA7B9WXtKnMLywcK8vzy/Pczo\nmUBBsq1jbB9NZvZVNrx/Arf8wTjpItnle4heYzQM8Z/VbB1bx9zdNSBs53tue/eqVcxpPPDWMUyt\nZm1SElFz5litr7vVlJaVsfn4cWK+/JKp1dVcdHbm67g45i5diqtKhV6v57u33iJu505mabXogT17\n96J87jnGWWm/2lm/+x0r166ld2IiQWVlpPj5oZkxg9nPPVe/hqEl21nRZHOG27gBmsrKO8dYdzwx\nJIRVKSk81OgdtBFYBbx48SK733sP1TvvEHG7vp3Yxe2hkUDtjGSFol5z9mImZWfn4YXp2ll/9XAu\nHF/D5EWmT7/2ZO1N/0U/Nv/PZnyuzkBS9+kWO59n2DIHeg92brZeR8ZobY1Op+PDP50g9EbD6xLn\ngvup2JxL2sO7GKKaZFbH1jELzZ0RtnMr0GVnN5OYEJS5uR0aS3NsffddHjp9un6wiamqYtC+fXyv\n0bB0yBC2ffMNc7durZ+tLAMmFxSw54MPyHvjDfytEIOnmxtL//IXCoqLycvPJ0GtNt8VpQX0bpZ3\n/zUCetfWW2yuzs5M+9e/WPu3v1F24AA91Gp0wGxqZ2vPzsrihxUriGghJ3VXJvFEPl7V8y2eK89Q\nWiy3Nilnt3P+qy9wyL+B2r8n/jN/hr/nlDvWUw3sQ/j2m2x4/0vKM5xRetcwNq4XI0fa197G1uSn\n7fvwTJlmVu6iC+TqiaM2iEhgDYTt3AqNUadDh/nNOgxkZWayaelSdD4+REyYQFTTtbAdcK35paWE\nHD1qNtNYCgSeOkXxyZPo9uyxuExofFERm7/8ktlejaax3GM8vnX/kZgIStM/5i3Zzl6Rkdw4eJCg\nJu/u9jk5MSImpk37oXoD/Zydca+pIcw8UoLOnKHwxAl8zp1r9XV1FY1HTT4ZVKLExayaXFbR5D43\n2cG56fFdaI7vW4vqq/eI1lbWnz57aDvnRrzAxJ893GI7Wrfr+E7w46k/NTydp6137dKzZ3POVeOI\n5aVhVbmKLn3tnVkDwna+57bHBwez7dgxZl2/Xn9qOxABvFBSUrsRdVoaJ1NSSHz0UYZ3sLWYe+EC\nvSorzc8BPdVq8nr0QCa1nMZbCkj8/Ttu1nQLtvN4lYr1NTX0WLuWMWVlaICfgoPxnjmTwDFj2tyX\nZsAAlBs2mNej9n1wVe/eVCoUuFj52o1GY+0XITuwnS0dz+7bl/171uN79WGT01rURCbcIkjVkP86\niExQOTV73FaNXq+Ht74yGXgBYqrKuJzxHQH95yCt+1m11E61TGq2yYVvPwUOTR7Y7c1+vBdN3xGe\nnNmYj4vBz+y8a2+NXcYsNHdGbKzQCjxcXQn9/e/5ITyca1Ip14FymYw+TXTDbt0ia8eODo+vT3g4\nKQEBFs+l+/sTEhiIJjzc4vkcmQyf/vaz4H3uz39O5J/+xNZf/Yq9r73GpJUriR816q7aio2IILFP\n008JbgH7HB0599RTHP3Vr1jz7LMk7t9/T3EXl1fy53eO8cL8NJ6flcEf/lnAyTOZ99Rme6FUKHjo\nZSUFPT9BQ+0gWOJ0Dumov/LMM8Pbte+UK1cYVDdJrykDsrK4fO3aHdswNNk9q6szdkI8FYN3YGyS\nrLHUOZWosUHN1BLYO8J2bqUm2tWVQZMnc8rHh2NnzvDw1q3mbQD+V69yKzER7+Zm01opnsZlrkDF\nkCGUbtuGR6PTxYAmKAinjAyGjx7NjmPHuD8vr/68BtgZE8OyqqqWLV0rxtyaJBt+Fy8ys26vYDIy\n7mnGr1dCAmdzc4mpqn2a0wNfy2S8UlzcYNOfPElSaipnf/5zYkpKzNq50763eoOeN98uISD3FXxv\nt5oLX72yi+pfZhMZGmyxni33H+3r1odfTDvPQeO3lJfpGR/lR+iNcErS5W1qp62a6jwnNHIl6DQ0\npUyqwDHHiYJqy+0czjhMtsMZFKckGPQylHJfZs+eS0G6Fw7Shqdhe7Mf710jZcHj01hZsgpJoQ9y\ntSeGntdQTfAmSDte2M52qgFhO1utbQkwVKXCEBxM+fbteFj4Bl7t5IRDVBQ4NbLLOuBa5775JpuV\nSowXLuBRUECJnx+yiROZM3o0qFSEqFQYQkNZ8/77KPPzMTg4YBg6lIeefhrJ5cv3HE9RSQny2Fg8\n7sF2vttrb0kzTqXiXFwc6zZtQn7tGpeUSp48edLs/fjQ8nLWnjxJzGOPmbVzp31vf9y6B8/cp+tn\n396mx61J/Hh8DX0eGGqxnq33H61iKPc3KitIpt3jCVINZVfsGGIT99CUc6pxTI+fhrZRHXVwGefO\nXqCgOpneI7OY0CekXl9To2XVqtVMH/xyl7adAXzx4QXPxTj1Lqeiqhy/HkOQSqXtnBxDaO5V0xJi\ntvNdMHTIENaoVCxstGvMbUoiInBpPPB2EFKplNnz52N47TUqq6txcXKqfXfW6Ik2rE8fwp5+2vJA\ndpecOX6cK198gX9KClqjkYLYWIY+/zx9+vWr1xSVlrDl9E60jmUYJDpkZ4K5f+p8vL0t5SqyPtFD\nhhA9ZEjtvfjpJ3xOnrSoU9S900+9ksv3n+aQn+yJRGLAo3c5C37njb+/5TnhuSkVOFnMuwQV2R0z\ne7gzEf7SX/n2t4/w4I1klNSuv14bPpCgxX+t1xiNRn5YuY7iJHdc82IxPvYN4x40vf8ODgr8e5Zw\n7cZV+oV2j40VXF3ccHWxvCpAYI5Wp6GgqBgvjx6tSvTTkQjb+S40UiBy1iw2ZWczrawMOVAJbAwL\nY1y/fh1m4VrSSKldF9sRfV25do3yv/+d+Y337T14kLVXruD75pu4nzpFhVrNNzm7mfhwfySSWhPR\naDTw/Q//YsniJ3Frh9zOLWlkej01gKUdbfUKBbk/7uaD3Qn0yH2G+ukt1+CDn6/kyd/PwsnRxcxe\n0tUYMaBHinn2JYNE12zOY3uzyTpK48ZQHB5I5POKFciLs9H3CCF64nMUnnSuv1dbNm1Fv20C/nhh\nQI97hOX3vAOifPnx4yN4Vo+45xiPbEyjfHcaffr2o29If7u6Z0LTNo1Wp2Xtyg3cPOaEQ40PBp9j\n9BopJdZnBk33VBS2s6UyO7OdG5dFq1SEhIay7dw5KCpCGRLCgjlzUFrBwu0smrPr1zOv8cBbx+wb\nN9h66hSz4+PZWniZcYv7mWwpKJFImDg1kH17jzKvnW3npmXjQ0PZdugQc7OyTMpvymS4z5rFqlMO\neOc+YtZMYOZ8jp7dwcLHZpJ09gRntt5EKjcyYmok854dw3/2/UTPW/eb1KmS5RE13TQ/sb3bZB2n\ncWG06jcm550cGjS5f67Bt85NkCClqkBh3iBQWFBBcPige4qxrLyMj97ciO7YYLxrpnHAKZlDw79h\n3pKZ+Ko8Wt2O0NiP5v23VyPfOZ/Q21+zc6BqfRGnZ29mqMo0K1h7xtMS9vUc3snwcHZm1uOP33M7\nSRcucO2HH5BVVKALDWX80qV4WyG+9kbRTIIROSCtSxNZIy9DoTD/A6ZQyqnRFrVneBZxcXKi72uv\n8cO//824lBS8jUb2+/lRPmMGc+fO5eC2Y2bvbgHkKCm+auTff/gKw08JuOtHoAc2rj1Hr6UHiXsk\niJMbNtAjawoKnMhzO0SvOflMnzOvxXjSzh8je9NnKIsLUAeGEDTsJXxVlmemdydqihoGWwkSbuwL\nR/P0LZQOpn+yzp6sZEashWVobeCz97bgvv8hpHWLP7yrB2I8MIA1NSv57fCl99S2oOPJL8in5EAv\n/Jv4W06GHlw/bkSr06KQW/4y15EI29nGmm1bttBn7Vrm1u3CYwA27NzJ8PvuI9hOY759rJNZTnJv\nBHQGQ22dQB1gPvgC6PVatB1sOwMMcnZm4KuvcuzcOU4lJeE7ciQlhw6xafFiXG7oyUaKN8+aDcIZ\nV07SK/VlHBtdT4/qaG58LaH3A2f57RuD2HN0FVXVOu7DH9WUAZCS0qh/06QR5z79msjEFTxSWQrU\n3retW1aR9ou/EdF/qMU6Fsu6oEbHFZNTPmd+zsfP/IkxzxQyeJQPhYWVnD5Rwtj7plN4thwHacMa\n2LbYhiXlRZQd6YlLk1WXEiRUnwkm9XgB3u7Nz6S2Z+u1u2qOJ6XgXmx5b2lpXk/SEwvx9Qxs93hA\n2M7t2/Y9aIpu3cJx9276N9r+TgrMy8lhTXY2wXYYc2NCY2K4eOYMAysqTMp3+/kx8tlnobiYcH0l\nN7JTCQo2HYCzr5XSN3wMCoVzh9rOt4+lwOiBA7no5EThxx+zID+/XpLHC/yFdDz4Z33ZLbfj+LoE\nmgy8t/HSDCK3eith0SqeiK77pU9OhkbJKsA0aYRGq8U97UuG1w28UPsmakb5TdbsXsH4Of81q2Op\nnY7QaPspqNFocHV27pB4jEYjAbINVDADV/oBtc6D38E32JQ0j5oPggkOVvH0k/FIJBJuVt19ko2i\n9DyU5T3NxYBzTS907jfxVfma1bubvoSmYzTRLr258H9XcKo0H/n03nmED4nC0cG8XnvE0xIiyYYN\nObJjB+OapqOsQ37lisVyeyJ2+HDyXnyRzaGhFAI5wNrISDxefZXAuqQfY6KGkZfkRMq52sHNaDRy\n8XwB+df9GDFi5F33ffPWLTZ89BGbli/n6IEDtdvN3QUp27czrtHAC+CPgfsln1DGVfRoyfFYxejn\nL+Di0PwsU4O2bd9jTxw7xpgmOzjdxufiRUrKy9vUXntwq6SMtz+8xi/m5PDyrEp++8w5fkq0HLM1\nKS4rY3rZKWKYRRH/Qz6HyOMzZEznn1UbCZC5MWbMGJN5BHdLSHAY2l6pFs9V+aQQFipeAXQ2QnqH\nohiWbJaURIcG75hKHB0cm6nZsQjb2YYaSX4+zQ4Z1dU2nTXdWs2EAQPQvPEGiRcuoExNZe6DDzYs\ncarTPOyn4nLGTU6evIpaWU3s3PmEhAZToymwmGTjTvHs3bsXvvuO2Wo1EiDn22/5ondvHnrjDZSN\nlxO04roUaWnm1wpMNpbzoevP0FYtIKh0BIdWpaL1vIw/hvp3g7epppBgaZVJsoM7JaMouy6lud1n\ntQYpt9IlaJ1sl4jDYDDw1nsX8E3+Hf637fck2HzhKDWO6YwY1K/d4lFrHClRuvAwKSzhbW7wNl7U\nJpO5LJPhFuhCjaagvl5Buus9JNlwwie2hurrxSbLxaopwalXNZWZLlRarHc3fQlNR2nmLprBqorv\nMJxV4anrR7HbORxjshgbtsDk97Q94wFhO7dv2/egGdOzJ/t27mRSkycvAF10tF3GbOlYCcTf3iu2\nGU1flYq+JFAtK4GIBk1bk2wU3rqFfuNGJqnV9ad6Ggw8lJnJ1kOHmPvcc226LoObG1h4yqwGAioe\nwZ8nagsyh3PT5TBXQz6hT9ZT9e+DddRQNXYTsY++jlbVMCjfKRlFVL8Ydv3wCUuzz5v1fXPwGAYO\nGYe2Fe20pq+70ezddQCXlEXmiUNqRnEw8QZDFg5tVTt3o5EB+SOnYNz2NTIwmftwMGYYi8ZMNHnq\nvdfczs/+z1xW9dxCyjYdkjJ3ZD5lhE+QMWnMXLu0VYXmzhpfPHkt7iFO7cmgxHgSVVQkgf7xFpOS\ntGc8LSFmO9sQT3d3DI88wrkVK4iurs2ppwPWRkQwdl7Ls2S7K4fXr2dmkfksaSUgaSZ5RktoIyMx\n3Lhh9v7lWyLw5iGTsoDKeMpGXEE7cB3VeXKkciOBQyQ88ejDlF5u2xscuVwOs19n33cvMv5W7Zcv\nA7DGvx9hz7zZ5uuwNtdTS3AxmifyB6jMUbR7/6N+/W/ez8plTso+gvU6ioFNqqH0/e07Znbz9Zwc\n9jLe8+0AACAASURBVK07gOaWEgcfDXHDRuNLoOWGLSCRSFj85EzyRxtxDavC0cGpPnuUoHMTHBjG\nEJWlfc1sj7CdbayZMngwF6ZOZX1ZGfLqavRBQTwwdSrup06Bj0+r2+ksmtbkdm6pHUlOTrMTFaQl\nJW3adhDg/pAQPunfn7mpqfhSm/t5lcyRC/o/4Y35uyFNrhcJ42YSvKShrPTy3dlS7rqFVL0SzUd7\nP8ShrIBq31DcPX+BG37NJuZoXGYwGDhy4gCpe0tx7WlkYFwoUZGDLdZrq5Um0SvQUo0C00lRACh0\nLeYTto5t503omJ0cun875ZlJyH1CiRm1BKlDqonlfOjHVDY/7Ulg8TzkSNBhZNXGn8h/sYBBA6Kb\nadty/9ePSAiWNNjM9myrCo39a0DYzu3bthU0UfPnE9VU4+Rk1zHfjSY9PZ0zaw8i3X4K9zEjGT1/\nBrI22s6hs2aRvmMH/TTmifm1MTF3jrGp7VxRgeOJE5ynNkuZARinV5PESozMN7Nd3XprCI63pnUV\nyeBJ/64/bm2uXq9+Ov75u69x2DeDHkZfuASJB1LIXLSGx19acA/x1P67IDyBvxzcSlDGfJPzldI8\nome63bHte70/+YU3cYuRMzRuGtCwkbxO5lVvMRuNRnb97SJBxVPqz0uQ0LtiCid3rmHCfNPlJvZg\nhwpN99K0hLCdBR3Cti+/JODzz3mwbllS/sdfsfL7dSx85UUc25D+OHrwYL6aOJGg7dtNtoLfFhDA\nsEfMM1Pdid1bt/LwxYtmT9O/Zj3vsh5fGuz/EvfzjJ9lHxbWupXbcd272OTJ1KsmkvxVRs6NP0+g\nYtA9te/o4Mi811Ws+dMqPDPH4mjoQaHvAXxGljN9/px7Db9ZThw5xd4vrqJNDkaPFtfYXKY/F0Ok\nKsJMe+l8OsYky48WmvNh5NzMpmdAsMXzAoGtEbaz0LS7JjM3lx6ffsqQqoZ1r35GI49u/Yn1SiOL\n5j3Wpr4eWryYbbduoa+oQFpTgy44mGH+/vRWq9tsO8vOnLFoYwdhxMXrHxSUByPVuaEPSWL4VCnD\n3QdTcPgQtk5GkXO0BFcLlrB3jYqT33/KzPDSe+5rkFKC3+RArrofpKi4nMVDB6I764ikceIQK15X\nxqbz7PrJF9+SBQ2FR+CHqz/w4hu38HL1gNILUJf/TX85E4zN7GdrAGN6KhRXWDVGoRGaVmsAhjb/\nKCxsZ6Fpd83p3buZU1VlJlUCiqz8NvclA2a+8IKpxtJM61bEbPTxgbrdjJoyampvYpbcpPLiXlQT\nxyOTyYAqqyWayEveTlJSFYH9+jE0Lg6JRNLqdn443fy6Zid3AzHxbY/HsuYasY3vmevldkuykfbZ\nFXxLFppdj//N+Rw89RHPPjMCkmtA7wnA8L7RfB95DC6ZPxW7RJ1j+JhBSCRVVo1RaISmtZo7IWxn\nQbsj1estZEuuO6fVNXOmY5CrVFSdOWO25vSSoyN9pkwhrGcQlJVCM6k074bi4mI2/+EPjDl5klid\njiy5nK9jY3ngrbe4/fZbp9Oxau1pruzVYHQ9T++YapYuGoyDstajDxxQTsFx8zXHldIbjBrRObcx\nrLzladGFkCKj9Kb55DepVMq0ZTK2vLML77JJ9eVFXttY8DNnqyThEAjaC5HhStDu9Bo1iqtK8wHB\nyP9n770DozrO9f/P2b7qvQtVkISEGk0gEL2ablNtcI3txMlN+SVOcpPc3NzkJrnfJPemOHaabWxj\nm2JMM2A6AkQXRQUJCVQoQr1rV1vP7w+BpNWuhCQkEGafvzTveeadOUe7O2eeeecdaB0R8fA71Alz\n58xh0/TpVEg6vgpXVCryV69mVLzt/LAPir2//S1rT58m/G5a0RCjkbXnznHwt78FwGQy8bMfZ5D7\nu+cQz/8bHH2B6396kX//3ml0dwPN1q6Lo27U3zHTcdSejmbk0z9l1tTYQen3YEPtYjurl4iI2kNr\n89qs6dG8/sNsHJ/5G8K0D3Fa+Tbf/lEhaRMjB7OrdtjxwBDE/ubl6wPKMi3LtiI6u9oGijOYvu2c\n3nN2/sc61uz5CJe710Tg0xEJ+L+xm6jUwF776WzzihYRRbF9T+b9+mOUlllxdPoqFHIvTu3YS/3h\nExikBiJWriQuZYwFR9kpIrtr2Zat/ILcilOVB1L/GiqfjmJ6g/Ve5QxHFzS/vsLN2nwKfpFskXEJ\nwEArvt85RNrop/COaTsKb8dHhyg7J0HlJhI0Ts6SFXORSqVW99qbPj/IfQ3E5yd9ezan/2TCoynR\nwl7he5BX3ovDz9dvSH/GB5tTINVZcYr0esI7vdh2Lds5j44DEKu0dXJ4G+yysx0PBQv+cz27R45B\nd3A/DnItmuEJjFn3JqYqvz77qm+oZ8O/9tNYpMDUKsV9hIH4SeHMiEm04lbXVlJRWUF4aARyRxvO\naEuyMHHJfFgy3+YANJCoravC38bACxDc0sjp2luUnG+2GngB5KgoyzLC3QBfF2cX1n5jabdZe3qD\nrKwsCgovgSghKTmeiPDBu/f7YWTUKHTfO8bZj7ejvjYOs6BHH3OOma+G4+fb98+JHXYMZdgHXzse\nCiQSCVNW/RtVCf9m+cZf1X0dWzCbzfzlh9vwPf8CTvdWkqvgdM5JfEZcYVTCSKBtgP7XX3ZjzA9B\n2RiILjCdoNmVfPftmY90LXBYUDiZodHElORbXbsYFMGw4FFcuVjebX3JAC0UiaLIhx+tJyJKJDnF\nHVEUyb68g9zcqyxauLzffssqblFW3opXdES/nvPshWlMn2fk4qWLtNyWM2XRM4/s/2Uym9BoW1Gr\n7OvHdgw8Hsrge79E1rZsA5llZKhnQrFzes85fuoYzucXWiW/8GmYyP5/bcXvG22D79/+sAvfS891\n8G6H0bS+lneDPmPtD8YDUFxUyvXibJISU/H0bJtptmhvWvWnq603nK7J/jvuQ0HNmLXcvvFzBLOZ\nI/jjSwtxQiN3Rq9Get4B3xAPioRynETL2V4rjXgGKXv1DM3OdbhEdASzde3fvn0HGDNBiatrW3Sm\nIAjEJ/qRl1tAVs4pokZE9um+Cq9f5ciWy4iF4QgGNXvCPidxnj8TUiba7GPnsiiK7D+4j2uHtcgU\nUtR+esbNHIlL1Uiq87uv153tQTkGo56tn+7gzhkFcpMTUt96otLcmT59+iP9HuQ5G2iKsFwlvKDV\n9li2cx4dB4aA7NzbTCCDmWVkqGdCsXN6x2na34gjXtYVAGODAu8YyLuShzJ/DGaM5PkeotmtCb+y\nEEKaxlK4w4W6l818sfsDAkKMBIQ4kXF6M60t3qxZ/QqOamzKzl1t9+PYSvZ/7z7mR/2I/7zWDFkT\nCTDP5xLlfOCzmeeXzsVbCknRk3irdAPNX8zEydyWo1gr1KCfsZOVX19HbcH9n2HnTFC2+tfUXN0+\n8HZGTKwP50/mEx83odf31aRpYMOv8/Av7bRNqCiWvA0XCEnMJiFplM0+3iv/8/db0G6eSaDZ425d\n2HN6P8bQQ6xOmELy2J4zVfXkuz+cP/50M8r9Kwjj7o02w+2bJZzzP8zY1OmP7HsQI5XjbeMz1XWd\nsWvZznl0nJ5gj3a247GC2lXAhMHmNblr20wvP/caWqmZz197l+x9/tzYM5qTn+v4Yt5faSlTsG3H\nv5g2x43oGG9cXdWMHudL0jgDn3/+8UO5hy0f7Mbr0g8JMi9AggQnAois+A6f/foyBqMBQRD45s+e\nI+k319BM2Y554Xai/+sy3/v183f3Gj84BKH7LV5Ct4cd2sbhA+n4lC6wsns0JHNyR2GPdW+X3aZy\nTzDqewPvXYSbZ2MsCuDLnzVyJcdaou8NtK0atm/awyf/2Enu1axe1SkuKUZ7IgYZlj+izvpQLu+q\n61c/7LDDFh5RhquHnGVkqGdCecQcQ6kJXYRve1mj1aDTW+587Wp7VJzpi2N56/MvCCxbalGnRagg\nLNWMTl9FWJQHf12xH+HNxdwbqmThgWj+5Efmd9/imViF1Rqeg6OSJm0RzZobdMXAys5QsM+AH65W\nPtwL5rHzw3SefmkmIBAbMBmXGAhObbtec9XST1e/ndHUYFmuKwf3Tip2a60bomi0eg4N9Vqkmqj2\npaKu9W5kgFuX2KfqXPDs5qekoVhGVV73fT6wNxPvxoU260qQ4109ib3//Azv16O7vVdbvi9czCTj\n41v4V8xFhpKz0kJO7f+Q57++GrlM3q2fXE0Ons3WLxIA2lJHio7podPAbJed7ZyebI9cdg6Iscxu\n9LCzjAz1TCiPmuMeVw8xHhZlpUJuxelse1QcP1SseNuRz//9I1yvLEaBEzXe6QSvvsKLv1yCIBjI\naa3BFJVi9eEWpFK0qQEEBLdgC2q1gFTwGXTZGYPc+gKgwgWJl3ZgJMu8AGSdJ7DVAcg6dTkt/lX2\nffZL5i7vkPCNRhPpeww8N3sdUpPUZj03P+u2vGJETHkmJFjPyl2GGdv5tvrsc01FMRoUWIeii3f3\nMJsalRZ17/c8tDoNu/7rJsEVHTmo3U3DMZ4dxsHYL1j3xtJu/Zia/Tn2yU1cjMOsrsk8NYRNlttl\nZzun15yeYJed7RhUmM1mjhw5xNatH7Fr1zY0GtvJEvqC1Llx/OJ4DKM/2EfI/33M/3fWk9d+Nal9\nFneruhapj+0tMwo/b/Jyq21e07XKUam6f1MdKDgG6WzaGxRFhEYG2rw20PB08yHJ+ccc3eZA+t5m\n0vdoOPSBDyum/arP0va0WVOoCN5tZa91vsyEJT0nUZkxZwo1ofut7GbMmGhLKCJ36VsWtGPHj+J9\nY66VXYaS22d7rjtmzGh08cet7Aa0BE8S7VHPdgwY7Acr2DlWZ+wOVMTvrbIr7N1ziJRJHoSMcESn\na+KzbX8jOWEOcXEjH6gtvbGcmUvv5fQVLThTk4bxzwvn0I0Zb1Uv1NBM+W0pMbEmZLKOQaaqshk3\n12A0rbesfmAHWnaOGTuMrIvZeGg6Th4yY0I78jjudc/3eFauLVt/OZrsACal/qCDkwvNxdDcQ738\nUmvps0iqZNxPhnHqb5+izIlFYlSjGXGZqBXuuI6aTJFez3WtiQi9FE1LEzsv76ek0oT/VYF57mMZ\nuzSIkx/uJLBmPlJkNFNJIbsZyTO0SCoIiHLu1fnG91B5xYizjbOYAXS1tmXwDj8CT62ewnbtxzhc\nnYiLeRhVjudQJRexdMYKe7SzndNrDgwB2fmRH34wmL4HmFNZVUXGpk1ICwsxarWkrlyJr4/PoPZH\nIa23OlN3IKTXY0fPMW9RUPtgplTKmTE7jMP7jpGUOBnJ3U2rA9FW53JosDfT0vPY29iA4NJpbfVK\nDnPdnVg96zts+ex9pIoqXFwFaqvB3TWKJYuWd5tkYyBl53kx43DwPcXxD7dgrHRGcGzFd4yO739v\nOc3FQyOqvDtbXZwZ9y4cjzgj4YoYxr8QQ2nBda411DI1ef7dGbTYzmmuuM0vLx2gbsF0BLmcYuDc\nhSxednbkB1un8Kef/pPb2c24NIwinrVUumYQvLiaFV9fRuf3ofv1cdxTkZzMvoJ760grnnuMrlsZ\n/J7NOyaI+KlrOLr9Ek1cYcH4BAIDUgCQSR/ds7fLzo8fpyfYk2wMIWRnZnLrF79gcVkZEkDMyGDf\n/v0E/PznxDt2k55piMJoNCKRNyII1oFF8aOdOXXqFKmpqYPW/i+fXYLXtu2caJZws7kJz9ZKngpu\nwtNRxqcb81i54jUkEoGKyiKCAqOQyR7uV2HKrAmMDALXSD0yqaz9RaT5PvUGE6IocuvODeRyBb5e\n/v3yETIiApNeb1O6Xp+eTv2cORY7tA3J8Xy8P535skm8/trXcRtu4PCBdFoa9zJ1WArRE/qecSsq\nYiTnpn6I4cswi/OOq70ymL8qulc+BEEgLjoJ75ikPrdvhx29wUP5xWnVW6YxMmlLkeq9erQNFGcw\nfQ8058o7f2FlWVm7XQDm3rnDxnf+Qvg3ViEbpP5ouIOxyYXq6jq8vNwxmivoir5KrxqNFpnMbMUB\ncHVVkVdSik4/YsAkblucdTNCcN12lInzHZDLnQFnoG0deuPmt3ju2RdxcdNhMtdh0j9YW32RnS3L\nil5werYNBOfc+bOc3HgTVU04Zqke6fATTH1mFOpyy8Gqv9JnpkbDlW7SyDdMSWHjhkMk1C4A5CSH\nzmzvX5Vb3+7jXnnVqjXsUn9BRbaISSsFpZ5pa2IIUMfeR3buvny7qpTS01pSzCPaX5bssrOd05Pt\nkcvOYrLlJnlDnD+SLrJdV9tAcQbT90BybtzWEHWlAFuIzs1ng6jnuYRYixnFQPTHZDLx+cZjiPln\n8PCSUnvKhCB6sHrV161mL32RXpUK0OuskzgAXMqsYta0lSgV7vf105u2uis3Njajdmq5O/B2QCKR\n4O6pp6FewNUt+L5+9HoDJ7eeQNfSTMrTC3F0tK7TtV6P0c49lB8FJy83n8sfmgmpe7rNaARyxnO4\ncSerf+yLd0xHnun+Sp9ms5kdEonNHcSCRILK10hwzEAm0ZHxalxHtLOt/Ne9fWZXcvPZ9dZljJdH\nIDU4kJu9nfFrfJgxb1Kf/Dwoxy47P36cnmCPdh4iMBqMyE22kxsozSZcPW7x7vpfc/369QFtd9Om\n90kcJ5A6xZ+YWB9Sp/iTOE5g06b3H9h3ZHgS+VdqLWzV1S1gGoaHh/XBAQONyooaPL1tv1/6Bai4\nddN6BtsVZ7Z+wfHUlaS9+E0WfvNHZI+ZwYHf/XOgu/pIcWzbFbzqUqzsPjee4vD+9AFpQyKR0F3c\ns0PGORYmzhiQdgYaTc2NfPYfeXicW4mPPglPMQrvvGVk/s6Zi5mXH3X37HiM8VBmvrousvNgSo0P\n0/dAcoJCgjiQNJLY89lW/POjAkhKHoYgCBzcu4HAoK8jCMID96epqQVkt3FwCLDgODgoEKW3qKkt\nxcnJod/3FTvKj8KrSo4fvoAgtCIix9nRhcWL57V/JgbzObt5GriYrSfCxtGuN681MSfcCBknwW9E\nx4XygvZyeXkVhu/8O09XdZxCNPt2OcX/83dOOnsycVaazXoAdRmeSP26l51vV9zg4KaLuIVAaloK\nXu6+Vhxb5cHgNFyX2ThDqe0Q+5wTt7h5WYtK0aZiPIj0mZaYSFF6Oq1pae1BeMLVImaXuqBVOA/J\n3O0Xqo/gU2qdBMS9MYEjH2xlanzCQ+uPXXZ+vDgwBGTn3kiGtmwDxRlM3wPJ8fv+tzn1rR8xoapj\nH+pJD0eUr6a2/1hFjXSkIP8O8QkJD9yfgrJKAoNtb8kIDFZTfkdDbGzIA93X+HHJjB/XMauxFU08\nWM/ZywNkQj4tzS04OnV8CVpbDYhVbvjHBUFpE3h3LCyqq53by5c3f8ziKuvj/8L0Ri7uy0A9fZHN\negB+fkroRkZc/5etlH0ejFfTIsznYOuh40Q9l8ny5+e3c7rW6YxL2Zmc2ViKvlGGY6Ce8eMm4B1j\nvT+4t7Kmc4gRrN/5MGOGKh/e+/3nvP77mfj6+j6Y9Bkby0h3d7YeP87NBgFfs8AcrxFMWjSzz32+\nn22gOBe3S5B29zNpUBCcaped7Zyebd3BHu08hDB2yTwKQgL58K13ac47g2KENwGrxxAb1zEz9fRW\nU15aOSDtBQYGkHdUT7B1Mh8qy/UkxPQv4nUoYcXy59ny2YfoDDfx9IT6CiOKJk/WTn7mvnUljY10\nl1JB1tjYr/4cPXSCuk/G4WkIxEgrMlT41qVR9K8cspKy8ZeP6rH+tk/2UfjXENx1y5ABZkQ+P7wP\nmWczMbFR/erTxMXD+fL4RTwaLCN7r7OfMKbhkOfFZ3/9jDf+q/9HDd6Df0AA31y5kroLQp9+qB4U\ntQ3lXDqZjqdbAEkxk6Db/6wlHHzMNGBAinVWMqWX7RzjdtjRG9hl5yHGCYn1Z9jbP2HDJ39mwuyQ\nrlXJyapmauocdPqqB27L0Qka61UYjZYJJ4xGE00NahwcDd3Kw0P5GXa2OaphyZKn0OsN1H20jRCX\nCFS+Cii8m/C/hyQkMgcHNIBl5uk26B0dLZPHWPmxkckro4bLF6+A4VOGcQBP6ikiipt8DQ/tOs5+\n/B6LhzfQOfe2eKIas9kDiURCS2sLOR/q8NN1RCALCARUzmXfn94j5rtmi7Z6m/c7QSWjalUuX244\ni0/LbEzoKecyXkThSJuaUHXOjHjlCrddpDRFWC5T9EeS02ibCOwyoPUn7/f96pnNZnYd/zuuAeUk\np3hRXXmOjUc2Mcy0FJeI+Pv6mbk0jrd37yDghuXLWp3zJabM90CjLX1oOc5LMNCktwweHOrS65PM\nAbvsPKi+B4szLCiJkuIiQsM6pMyGei2iIRg/v8hu6/W1rTWrvsnHn/4Zb18DIWHOlBY3UVUh57k1\n/4ZSoe61n8HiiKKIXm9AIfeyyjzV1+hrl/GTUdngdJeEZHp4OJ9lZvLslSsW86Qjnp4kvf46REba\nrAcQQB7YyGn+6ZZ/8BsyO33xqrjMJdYjx1cFCaklEKOmRavl56dPcy5KilbrQLhGw/DcWryqf9b2\nXBCp5hAm8lExGe1Nd3yGN7bvV+5r3u91McOhZRsZG+qQoyaW5RZnJkskEgJiNCTKZDAQktxYA35d\nKP3J+32/etu2byJlnhZn57Y1db8AZ+Y+7czBvRvxThhhEdFv2483L23wYfPPPqT1dCxSvRNC4iXS\nvqVm7poxd5dRHk6O83i9GeUQk1XtnJ45PcEuOw9RTJmSxtkzHhw/cgGBFkwmAU/3GFatfHpA23Fw\nULNu7UvUVBm4XlTEuOQIPL1kVgPvw4YoiuzYuYW6+gJkCh1GvRJ3txEsXrT8oeXXVSmVzPrd79jy\n3/+NqqQEqcFAa0wM0WlpRHQdeHuB3OvXWVOfZfWlS6AZf/6B74gVgAJRFHkpPZ3sFSsQ7g4O2UBO\nyUYWY6SFWzjzMt8jg3AMnMWZTxrjaNX9FqcHSBayIDWYs/sq8K6aZ3XNd2TDY5nXuKGpCGdn6/Of\nx0705OjRw8yYMeu+PuLHRRK/L5KSkps0NOQxalRq+z5fO+zoL+yy8xDmjBsfx7jxce1lR3UwekN1\nt/UepC1P72A8vaMe2M9AcbZt+5wRsTri70YBA9TXlbNp8z9YunRZv9oya62PC7xfEhJXdwlPvTAf\nYWQSZrOITCbFlJN538QxtpKZXMk+xXKT7XVCL3kWixZ9h5bCHA5friV7Slr7wNvu8/WlXP1kE/HV\nn/Azjrbbx9FEsu4Um//vf1j25rd63Z/GQss1bc1lRwJTrlK5Nxw3Y8f6cXXANtatkdKqr6IYOaJe\nb+GnP5KcodCIs8Ryptf1+MKu5d7aOpfNRsu+3oOrq5qc4zVUBdiuZ6vsSDD6WhU1VyXdcvp7H73h\n5MmMuIQ8+LO3cx4OB+yy86D6tnMGnqPRaDGYK3Hr8mvk5q7GYC7HbHLCUX3/5Bhdbbqx4xH7mRRF\nqfDmXqbi/iZXcVwyi6rP9+NtI9OTQ4w/qglj0Y0O5eLuTIQA6+hliVLJzYmn+flO6723MsDpcg66\nuGgUCkWv+tPCaIvnk12lxjX+HbzmvsXVvV6YGlzQOpUwZukw4tauRgQCBkj6rNMFI+vK6XJ8oVW5\nt7ZOZVHngS3cKG4gxHsOMlOAzXr9aas7m6HcmxqhGndXTxRyRb/9BKKzRzs/ZpyeYJed7RhyKC6+\nybBQ2x/i4BAFRUUlRA63lhKHOlIWTmfvmASePXfJwt4MSBfMbi97KuSYW1uRqKy3gbn7GIjE9uzZ\nvbaO5uYWPDz6F0V8tWkTcxe3PdeJcwEaAQ9OHL1Ga2srKpWK85dy+LLgNncEAQcgWa1m0vz5/Wrv\nYSDQdQpFBQcIH+HSbjOZzGQekvPS09aJRQYSZrOZDe/soOhLKbI6f8zemQSmtfL8t5bQ259evUFP\nVlYWLi7OEB06qP214+HCLjvbOUOO4+yip+hGq80tUNVVrQwPlTz0Pjc3azhy5BBGkxYwMnfOMtRq\nVbf1bPnR6m4z8o8/5sPv/Zrp53MIMJnI8HTj+qIZLHpzbXsE+7JJI/h022HqZlkOamJjA+OSIjjj\n5crU6gYr/+XhwcQ66HsdCd85/7TBaEDhWgFYby8bPd6Dg4d2Ivf05y91cszTpgFtQ/MXLS2c+vBD\nfvjCC+38niS58qs3yPxdFi3HVKgkAm6RBuY9MxVPd+9BSbIRLpvLhXMGctLT8R7eTGuzFE15ENGV\nb1oc3Xg/P/3hbNm4HdPumQRyd+C/Ca0fa3irfCtpw1fe18+md/ZTXazD+U4yelkDNVGfMfGtGEJG\nD2/nDHXp9UnmgF12HlTfXcuiKCKXeVoEZAx1mXeocYYFx3Hs2EVE0fLwclEUaaxzITAg6qEm68jP\nL+DCpQ+YONkbuUKBTifw2efvMS3tOSIiIvrUVvRob6KO7ub84eOcLMhl9IJFjAkOtKr388RGfntg\nL2XjJyI4u6C4dIEZ9ZX86KUX2Jx5mZb3ttD5nKtSpRKHdWtQq3wt/PTUn875p/UGEelFq+62QyZz\nZmNhLebpcyzsEkdHakNC4NYtwsPD2+225Dfn6np2rS0gMH91u00sE9lc/Qk/+MdSgnEYlCQbc2IW\nUnllAU5hGhRyJTKZzGau5/v56QvHKUxLzWUlfrhY2BU4UJvtievyerxjLE+N6Ozn6MEMWs9HEKi/\n+/kyBuKVO5JLb2xmQkY4KnVHQORQl16fZE5PsMvOA4Samhp27/kUk1iBVCZBNLmSMGoqMSODH3XX\nHkssW/ISW7b+nchogdAwd0qK67h+FZ5Z9upD78u584eZPqdjRqhUypk+O4CjB7YREfH9PvsTBIGx\nM9LQTY6xOUADTEqMZXtcFJ8f3k+9RsK8sQkEB7YdwbjwDz9it7cfkt0HUVXX0BLij8uzq5j+6rr+\n3SCgkCvQVvnavHbhbC3Ll73M/3x2yPb9xMVx+vx5i8HXFg796SQB+Sss6yLgdeVpdm05wLQxuiGO\n0gAAIABJREFU1mkcBwqCIOCgfnjHct6pvIX0dpjNaw6VMZTeuk7EmNHd1r+8twJXvfWRm35XFnH4\n3X3M/+bcAeurHY8Gdtl5ADhGo5FNW95hzoIgBKFDK710YS96YywJ8am98mPndNgcHYN5ft1L5Obk\ncfrYRWKiJ7BubTRgGJAEI73lXLtWQnCo7W0l7l4abt7Kx8fHc9D6M3O8H47qthe4e9+jVn0Zs3/y\nMvzkZUwmE636MhzVwRbfs77KzgCu11dyeNfbTH2qQ7m5klWDt2cUgqQJtVlPk/VjwNTcjF6hoOhu\nFHR3klxVvgx/G5ml5Ki4c0Hkps7SPhRyO/eX457si97tDNSNtLqucSrGXDrcQvbu6qf5ptxmchc5\nKm6XGrp91kNNen2SOWCXnQfVt1LhTfrRvaRO9bbaB5mY7MPxw0WMG7OErhhKMu9Q5iQnexMbZ3uG\n+DD6Y9CX4ehkW0pSO8gwGRza+Y/qGUql0n758YqUsXfrXq4fb8XQKEXuZmBcwnIydl5GomzEpFcQ\nOWwBk+a1bXcbJ5Owy2BAkFtuEXI+eZJnn3sOeSe7LfntmLvt83wBnAKMNvMkP+rczv3nuOCTVoNp\nh9EiN7QZM84TS0mYPalHPy5hBiiy9qujmZARKovnO9Sl1yeZ0xPssvMAoLG5All1M2dOFiOVCogi\npEwMw8FRiUTa+qi7Z8cDIC4ulo8+3UZAoJvVtfLbMGfaw19WMJlMHDp0gPqGavx8gxg9puecznq9\nnj17vkSvb8YsCgQHjiQ1dTLv/3E3xs+W4Cp2nGl0svA0M34xmciYEFRKNXLHuvZrP1o2h7wPtnEt\nfjTCsGGYtVrcTp5k8ahRFgNvd4h52pvcbcW46Czl2GrnTJYtjsXmYb+PMV56cwl/122i8XgYbi2x\nNDldRTW+gFd/sgQbW84tMHbRMNJP5eChibOwVyZtZ8Xziwex13Y8LNgH3wHA9WvFyFUwc07bq6tB\nb+TAl3mMTQlFFB/fRyyKIgUF1zCbzYSFD/75u0MRMpkMX68YSopuEBreMQBfu1pP2LDxDz3rU3Fx\nEVu2vMPM+cGERaspLzvHj761CeequYxIc2DlG5NQdHr71mi0rP/gD0yZ5Y5a3WYvv3Oet/50npr9\ni/EVLf+vnrUpbHnnl8z56R20GtDUu/C097N4eXmiUqn4zxdXkpNzk6yzZ3FXqZi/ciW3evkMxi9M\n4fYPvuD230vxrUpDxEyl7yGSXpASNWK0VfTx4w6VUsW3f/UsOcfLqDZdJnJ4GEGB4wCwkfnbAimp\nYyhbe5z8E1sRCyIwq5swJ95gxdspyB/igRR2WKKhro7PDx+myGgkSCJhWVoa3r62YyXuh8d3ZBgi\naG5uwT9IYFRCR8SqXCFj/qJR7Nh6iegRUx9d5x4A586fIefKYYJCBCQSOHlGR2z0TFJSrINAHhfU\n5QRYSa9VeQEWcl/XMkBk83e50XiE9JxjCAoN2ionRg5fTnzUROpybNczSm3LkQ+KTzf8k1UvjWgv\n+wU4863/iOd/X7vIjR//Lz/94lO+/4e11Be29WfXsbeZ+ZSXxcEZfv7OVJcW49MwyWYbyroQksaZ\nEAQBURT5aOs/Wfi1/0EikXAbPaOTvRmdnNxRQW87i5QtLPvpAqpfruTQH7bjrZSzZmEaLk6uVrzC\nwkIy9uYRUeXJpMkTH8vUlvfg6xVAXEzA/YldMHnSZJa+InK7/AYO6iDKnOLJvHaU9JxMpowZQ2BQ\n0CD01o7ukHf1Kr8/e5bGtDQEmYx8s5mT6el8PSKClNHdB891B/vg+4A4evQg4yfYfvORy9VMnz71\nYXZnQHDzZhnFNw4yZYZPuy0sHLIupnPtmh+RkRE91O47GhubOHDwC0ymJkBFSspYhgXbjgJ+VBgd\nO43RtO1vrcoD7/6d3tcr5F/N49z5g4g0IJpFlIogli5ZQ2FhIYnjnK34giAwaq6OikN6nDNWsHf7\nISbEtkXDmuW3Ec0SmptacXRStg9iwyLVlNGMEmt/Egddx2H3gsDkCWoy0/cxdpp1zuf+wMvfh9lr\nFthcH9Ppdbzziy20HovHU7uIzI0VHIvdyOqfpBAeaTt6+KsMQRAI8g/h4JWT/LnpCi1TJiCoVOy6\nfJkJ6ek89cz9j8a0Y2DwwZkzNM2Y0R4yKEgkaFNT2XDgAOM7v4z2Evbs4A8Ik9mERGr7MTo5Oz3k\n3gwMzpw5wehx1oNffJI3588fHtC2rl8vYev2/yMuuYExEwVGT2jlxKlNnDt/ekDb6Q2MRiOX885z\nKesSZrP5/hUGAdeuFZGVu43UqSomTfVl8nQ/ksbreG/9H8k8m4VfoO3tMj6BKirJQYkTty62hQ03\nNDWQsUHPX2eO4N2pk3h7lTMndtUDMOkpb64FbrDyY8aEx/gCC5uHpwMtdbcG+E5t46M/70S5bwWe\n2rbj/hzNvvhkr+bT35xCtJGW80lAXWMtf2ktRDt3OhK1GkEQMCUmciwhgUMHDjzq7j0RaKiupsjd\n9tLbnagocrOy+uzTvtXoATnjx8VzNONjxqXYkJVExyGxbaevHJO5HkHwseIBmMRGm1t9+ttWxskv\nmDG3Qz4TBIGU1ECOHPiSuLiwtnNsB6itrltroGOLx4kTx8naU4PjzTGIgpEdodsYvzSE0Ulj+rUF\nxexch0uEsc99PnPuAFNnWiopcrmU+GQZhTkaTu6pY/6z1ptQstP1uNM2M9Q1idw4IbLrxDYic/9f\nx9GA55/iSsE5FKpP8BkuIH1DQtG/PmdY0QJkKGgUbtGc+g6v/MgyeEqr1VMrdaBIrx+wbRiVhVKc\nJZYz3xsnRG6mywjCekaszp7Kvs1n8GmyTgk5FLcaDSTno7xDtLww0WqTlsTdnZOZmczsJPsPte02\nXxXOxaYmjDKZzQHTrFBQ3NKCzr7V6OH69nD1xkExktLiUkLC2tauRFEk42gFkyeuwVHtMmS27fSW\nI5O6WWWXugepxLXbrTV9bau+vgEXd9tredGxzlzJucXou4kIBuK+Omd06oxyQy4FGx0JaJjcZhDB\nrTiU8xsOET+tjOBU63Xg+21BMUrdbbZ1vz7LZLZnd/4BLty5oeTcLoGx0zR4B3QMwNdyGsnf60ES\nAWiEamLnulBedwqXvFkWZ/ICeDSO5dyGLwlZC2u+uQa/V/Ucfnc3ulpoJpdViw04OFrOro+dqGfB\n6mfaA7kGYhuG+3DB6pAAg9GA8JntoyydzP5opRdsbkeCobjVaOA45lqz1QlX96CQy4f8dpuvAkcM\nDSXrzBnKrGqCT14e81at4obZbN9q9LCxaOFyzpw9zZnjFzHTgkTwYPbMV/Hz87Wa9T8OSElJ49yZ\nHYxNsZyBXTxfxfjxq7up1XcYjSbkMtuSvVIppbW5521aly9f4mrBBcCMu7sXM6Yv6tc5qyd3FODR\nsNTK7lM5nf1btvPULOtrAwVRFGlqakatViGXyxHNtn9kTSYzEomcN362jt9/cythsc04+eloKHEg\n75iaiPKv0SwpRzJvP7PmreVfv96Fs3miTV/l+T58Y93zFBsMODg5seDbbTmki/Qzydn1AcrreSQl\nuFJfr+NMtoGEiS+g6OENfqAglylQBzdDjfW1GpdzzB0f33YKRTfQG/TsO/UuWl0JigYz6HxJiV2F\nn9fjHZg00sGLvTW1SDytT2jyekTLI08aBEHgmeho/nbpEvrExHa79OpVFgUGIpPJ+hR4CE+o7Hzx\n0nFultahUKiYMjUNtVr1wO0nJkaQmBjRlp2pU0aioSYp94bj5mEgNHgCRw+cwi8QBInArVItI6Mn\nExDgNGD35ewCtdW2T+jJzWpg2ZKwbtv6dON7BIfCmIltP0g11cX87e+/5vnnX277IthovzvZubFU\nivUu3rbUhw1F0kGTnfcf2E519R0cnc20NBvB7I4gkdPSrMPRyXKwO3uyjBlTZ+Du4cQ3Xn+Fk8dK\naMkx0qgpJcjVH1X0JULjPRk/Zi3V+QLNFWbkNKPEOu6gwctMbm0t+TLLr/8FrZbkhc+jaWzkwPkT\nOLh5YXw6Dhwc2jMqVRQWEt71Bae8HPz8ui/bsOlLRXQhloOiRqth1AIVV67m46qNbrcb0OIwORtf\n3zDKq0rR6R2s6rXq1Gw8+Gvmr3BGrrh3vYUDO3/FxOFvYNK6WNTTaDU2/QxFzrSYOD7/cgMlqxcj\ndHr2svPn8Y+Obv/fwKOXZ7/KnOTERF4sKCA9PZ0bZjMBgsDEESOISUjodknGLjvftRmNRtZ/+FeG\nhWkZPdETna6B7TvfY2TUbBISI4e0FPywOePHJTNu7HRulN7CLJqZNkmNSunTY53+tBU7Mo2si+eJ\nT+o4IvB6YS0BvmNwdgqwWefy5UsEhoiERXi22zy9nJgyS8HBAxksXvyMzXpdZeerRZe47nYJnVu9\nVR+hLRuRxwhTvzIv3U92Tk8/hJNrPbGJHTmjTSYzH/y1ALMplMCQGoZHeWIwmDh7spLQ4Kn4+UUC\nEBQrZ21SR9pCW4cEJMwNYn3FZiZff8nC3iyp4vZ0A8qKCpIjI23LbV5exM1ty8pWpNdbcEbqdER0\nqRNbXQ3e3t2WbdnCo+shxlJZcY+rJ1GRzJ7w85xef4GGa0qUnibC52p55eezkMkMuMfVo1TIreqd\nOZXBpLkK5ArLn7SZC/3Yvv1dvvnqixb1uvMzVDnvj1jAmzv2UYASgyAwDHg6IQGXqKghJc9+1Tnh\ncXHMiIuz+l70VK87PFGy8/btm5iQJkOtbvvRVirlpE0P4NjhfUQOD7T5Y/kkQxAEQkIt8woPNJKT\nEyktCeH0sSMgaEBUEh4+hpSpM2zyzWYz23asZ93LsVbX1GoFzZrb921T26phW/qvGJGsYebX3PGI\nq+DIhZ2ENC6y4FUG7+aNVWmYKvp3bz2h5MYFJk+3nG9LpRKmzPYj97gbE1JmcunMJUT0LFn4PZz7\nGDkf4hNBxXMZHN25noSs6TibfLnifZDymbtIDdZz7UwRNafc8VzyCq6eQ+ts5PlrxjB/DbTqKq1e\n+LpDRVURoyOtI8EFQaDaUPvYR0q7uDjz7ZWLrV5mi/oodfYHoihy/ORJTpaV4S+VsnjqVNw8rCVw\nO/qGJ0p2btYWo1Zb78lNSfXlwMEdLFm86pH08UnnhIQGExK6zMLW3SEBO3fsxM/6yNl2mMXW9rpd\n29Jo22TgXSfeYvZyOVJp29aB5Am+CH86wu5f5uB6axrIjajibrDolXAcncyUl5T2WUbUcQOd3jJ4\nqHN/9IY6sCF2R0S7sfm3N3j9x3MIj5hJi/YmCqUWnb5D0rp3Hz31RybRMFYp49QnKdzOvIhY1kCU\n7hR/XuaFStU2mxJFkY3/eoPQsctJnjSFFm0DOiwTXnS1SQuzQNJlkMvI6Llsw3bLWY8+ItLCVqFt\nxZeOZYiKVh2+gqFHzj1bldYINg5tAKhXu7D+5CVmp067rx+L9ocY54LWgC+Wg+1gS686rZZ3PvmE\nsnHjkEyciGgy8eW+fSwMCEDRae3zYfXnceKAXXZut0kktr+cCqUMAdmQl4LtHNDqq/HwcqS6uhkv\nL8vZoNlsRinzt6jb+e/AsVUItOCQX45Uark1LCnNDc9/VKHTXCY5KRVv73uJRKylzt7IiDq9usf7\naqqzHShTW6XBcCMIs8kZBwe1zWcROLYKpaLjR9lWf4TAG7xeGYXs0B4yPf1odazhe5Mc2wdeaJsV\nrno2kQ3rN5IaHsbcAEeUCsv13HCMFjZheAjYuC9iYnoud7HppVJQWK4Lt+ABnWS7ruWebCFxRk5l\nfsSE0ZZvZk1NOrIa1QQaPC3a643vocbxpXdS50By/rptG3fmz0dyNz5AkEoxpaWx/+hR3oyPHxJS\n8FDm9IQnLMmGdTYfgBsl9YSGRNq8ZsdQg4HRY0M4frQQjaZjFmA2m9n8SS5z5lifINUZLS0a1I62\nX8J8/B0xGFrx9va0eX0gIZf609hgHc29+51WvFThqFT9iy5ubGzivfV/4tjJDVTW72CMQyGvNV/j\nOW0Bvr62s2MplSLHju3pV3tDBTFJY9hyxsyx9JvtEnNxQT2/+q8SakLiuVhUhNFovI8XO7oi12BA\nkFnP0ZonTCA9Pf0R9OirgydKdo4bmcjlC8dJSO5YR9LrjORl61i52rXH81AHs492Tu85orktReLC\nJfGcOHYNk9GMIAjU12kYO2YeKrWuW9m5RXsTB4cgmhqsmgQgN6uahFHR9/28DsR9vfL6Kr773O+Z\nMMudlNnu3Lml4fB7IvptLxHyWgYGY02/2vp04z+YMc8LiaRtZh8WDvV1GnZtqwC6RCDfhbuHI4XX\ns2jRWiew6NqWtDALlaRLQpl+yM51De4YsZwdl5aDs1/35fvZXE+OpPCPi8mK3otUYYbC2YxpTqFS\n+0+Kfz+Lv/5rO2umPNNr333lmIxGLp04TUmVjoWLUlEoVQPaVp7MACGWnMGWVbvb2SVRKinSaKzW\nnIe6FGyXnXtpG2jZOTnJG7nUleOH9yMIrYhIUSkCePmlNxFpGBKyqp3TMyc+bjq52QeIHeXJ1Olt\nCZaNRhMH91Yxa8aiXvkJ9BvN7Vv5BAa5tNtbmnVom30IGTbqod3Xm799ibfeuEz6b6S4NCQicwCv\nFcf4+n8vbt8u1Ze28vPzCRsus9rr7OauRqGUcSWnnJFxlr/wGo0euUJK5Ah3DK2uKF17bksYHj8g\nsnN4ngOYLH+Y3KuVFkHSXcs92WSKWjzzE3E1heGa+w2L61EZUZxtaqZIomPE3TZ747svnGOHTpP+\nzzJcrk3BCTnbNxwjaY2ap56ZMWBtAVaJSWBwZdUIQSDXukmEvDyeSkwccjLvUOP0hCcq2hlgVHwC\nI6KtT7fRDX7Q4BMBnU5HdXXtoEm3SUmjMWeaST90CImkFVGUoZD68eyaF3vtY/bspzh0WMbxw5cQ\nhWYwq3ByDOXZNavIyT2LUX+T+ITenVH7IAgc5sX/7ltFVmYhxfnljJ0yAk+fNIuBty+4ejWPuNG2\n88+GhLqQc1FEEMqIiW2buVaUN3LqxHUWLk2g7HY9t8vK8fWNsFm/PxBFkVPHj1OdnY3MYGBqWBgO\nKtWA+e+M6ppKZHW2Tw7yagzFVJZLi2xwTka6cfMGx3+nw6+6I2hQdWMBuW/l4B96iWBH68CkxwVP\nJydTdPYs2nHj2m3mpibG3rrFsLS0R9izxx9PlOxs5wwex2g0smnzemQKHR6eMmqqjWBWs2L5CxYz\nsYFoK25UKGGRs9uTmdzj6PTKHut1Lk+alAwk06y5gZPDMHJz83j/w/8mLFKBg4OcTzbtwssjipkz\nZwz6M4wa5UbUKLduORXltZw6UEBguBtjJkahab1l009ImC/FRQWER1hvA9FoTLz8you8/8EfKLvd\ngEQi4O7hyOKnExEEgWsFVbRqt5OVfZoJKVMJDR1msz+9lZ2bW1vZ8uc/Myc3l4lmMzpg78GDhD3/\nPAlxcdRl+FnJzv1JZnLP5jM2FJ3vIagYYXW9JCgL+fAwvHMq2s8MHsiczKdKz+NdbZ0Fzb05jvSP\nP2dKrPXg25+28pwNNEVYbpkabFnVISKCdWYzh44coUQU8RAEoh0dmbtq1ZCTeYcaB+yy86D6tnPa\nsHnz30mZ7GoRTdvSrGPHjj2sWvlit/UeZZ/vQdeqIjv3KNNnd0TK+vq5UFJ0k0uXrpH4iBKwmM1m\n3v/pccq3x+FR9RLZ8lvsGZ/Os3/wJTbB2k9ivDf/+NdxfH11ZJ4rxWwWSRodjCCR4OIYhrdXGP6+\noxg9wWTxf2ptNdDaamDewjgATqTvwdnpZQICAqz62FvZec+2bTyfnd0e0akElpSX89nWrcQuXYo7\nLvCAOZFLSku4eC4bN69gkhMSiVxgpPb9GtTmDtVFI9RR9FQliqsCz4bH4h1t7ae/7d/D+Vtyqxza\n9yAV5QOWjzpGKn/osjNAeGwsM2JjrRJLSCSSISfzDjVOT3jiZGc7Bh719Q3IVZWoVJbriY5OSozi\nLbRaLWq17YT5QwEHD+1mwmTrZA6h4W6cPpZJYuKjiYRf/5sjaP65Dm/a1qZdDGFwIoz13/wn/5M+\nymYea1/vSDKOn2LajAgkUgknj1+ntBje/MH3AVi96mU2b34fUVKOp4/AnbJ6WrVGZs3t+JVPTfMl\nPX0Pq1e/0m4zm820tupw6EWyClEUUWRm2txKMevaNY4dOkT0sP7ny9Yb9Lz9i81oT0Tj0fwU12Ql\nnN73MWt/MpUM5SnyvmhFU6ukzrWc8qTbRIwIZnahN5Nnjbu/837Awd9IM0akNn5O1QGDu54liiKn\nz56loKwMP2dnwibazudtx9CDXXa2cx6Yk5efzbBQ24Orr7+U4uJcIiJDHnmfqwqbrHI715VDc7UG\nmUxqs/96bSulGeDuZ1nHvUtkalfbQHCubJXjgwtdoT73FB/9YyPznxmPi4tT+30WXitCUOQze15U\nO3fy1OGEhjVw/MQ+0ibPBeDpZ5ag0Wh5f/07zFkQhlpt+bYuCAImatHpq2hsLuH47/6Ecm86LtV1\n1Ds54DJxCnPnzeuo0EV2FjMykDY2WvUbwAVozsuj7ua4fsvOn3ywHeXBFTjePXrQzRgO58J57ycf\n8/UfPUukScR3nA6FXNl+MtfNDNol555896b9ruUJydP4IGAnwWXLLK7d8TzEwtHWR1L2t62usnNz\nfT2/37KFlnHjkI4di6m+HsWHH/La1KkMCwtr5w11efarygG77Dyovu0cCA8bRcaZk/j5u1rVqak0\nMj4pCqXC2areQPanurqGfV9+gUgjiFL8fKKZmBpvwZHpApB19VMdgMJ8Cb3uGgqlja+DzhOqE5B5\nW9aRde1OV9sAcAx11ukSKyM34PvUObzCDBxOL6C5wYnrogf5qjIqG+qIUqhQujUyfFjHoB0c4srJ\n9GqLZ6FUgK9vkNXAew8CbUlCDv/0v1nx3hba82dV13Hn1mb2enkxb926jgqdZGcJoM/OhpMnrfye\ncnNj7KpViHWB/ZKdjSYj9buVBNg481dVMJYKUw7DJsXhHWMd2DV4RwG68fz/JrLzb1toyHJF1Mtw\nia9j8QtRJCSH2My93Z+2usrOv/7yS7SLFiG9q4BI3dwwLVjAjn37+L+oKAs/Q12e/apyeoJddrbj\ngeHr6019rTMmkxmptENsNBhM6Fu9cHGxndykr2hubsFkMuHqajkbLLt9my8PfMrUmYEIQtswUV2V\nw5Yteax97lv39Zs2ejm79r3JrEWWI2F+dgOR/ivB9sFLgw6HAB3c6ShXDNvCkr9dJjCsI6BKFEXS\nt97ixty21KiXgevHvuBnklLCOm2lEiQmC98HDuzmTkURF887kDRmmMW1yopm/H1HUVVRRciuQ1gm\nrgR/o5HTe/dievZZpN2cMxu2ahVn8/MZV1vbbqsVBG7NmcNEPz/K6vrwIDpBq2tBaLB1BhU4G0Ip\nLT6Mb2Rc/5w/ACIiw/nu78PRaFuozDMTmjwwn/nu0KrVkqdUWpxydA83R4wgJzubuFGjBrUPdjwY\n7LKznTMgnCWLl7Jpy78ICFQwLMyF4usNVN4xsnrV13pMXtKbtnLzTnP50hVUDhokUgFNk4LIyAjG\njZ0OwMEjm5k2y/J4Oi9vRyq9yrl6NZPQsLbBpWtOZIASrQRPiTMBwa+zc+sG/AIacXKWUFqkwNlp\nGr6xSVzK0RKh7xhkrmtNFmWAO4UC0BHENBBS4/AxvhRmFeBuaIvgdZ92lsAwy5SagiCwdqyKH+de\nhNgkAJrTFvDZl3/hB3cfiSiK6FoN7f+H06fPIlXnsmx5NKczisg4fo3xE8KQSiVkXapA0+jJM88k\ncGLHQdKqarGFgBs3qD53Dl9XV5vRzsmpqWS99hqfHTqEsqICo8GAato0ls+ZA3l5/Y52rrvgguhZ\nDTZU7Rqn80x2ix9QSbnvHEdqL4CjuifOg8vODXV1aB0cbK6ri97eZJWW4nB39jvU5dmvKgfssvOg\n+n5cOOfPnyXvagZmGkBU4KAMZunS1e17Sh+0LaUCXnrhW1RV6CkuKSJldCSeXtb5svvaVn19Axcv\nnWPazGCgY8Z3/kwBt2+PJTwsHAQt2Di3duQoPy6cvkpU1GjAOicyQF2cGaXCCffk4cTyCy6WleFu\nNBIzO/jueqGIR5wR9075jbuW76FrJOqDSo1LYybzgf9Bbn55GWOBFyHhlTbvMyLEFceDxbTcHXwB\nbso8gbbZ7rHDd9AqI3l3TyazE2O5eesaE6e07QdOSQ2nsVHLifRr6HQGHJWJrFvXFp0eMjKRYgc1\nCRrrH5UaDw8SkpLg3o+LjSQb8TExxD/9dFs5L8+C445DP6OdBRKdnSn6802c9B1bzQy04ja9hLjJ\nE6nyGkhJeWhwRFHk+tl97NnSgEYiwc9sxk2jsfUOgkNODk9Nn45rJwl0qMuzX1VOT7DLzk8Azp8/\nQ2XtUVKnenDvx7u1tYkPPvwrL7/07QFtKyg4kKDgQGBgjiE8eGg3k6daJ08YM96PM8cOER4W3u02\nD7PZ3B5w01u4ennh34cv0GBjwuLJLPyhSEtTExnbbCfQuF3ejMZzuIVNU9XIsSP1XLsj45R7LHUp\n0xAcHPgwN5uA/BpSJqvao6VdXNRMnXF3lnS646UiMjaGjZNGk7D/hIVvI9CUkoKqh7f6wcTiVbPZ\nJTlI9u6z6G+7IDq0EDrdxNpvrngk/XkY+M3hDzk0YxQS9zbJvRzQf/IJsuvXkUR0JEYx19UxwWjE\n1d32Z6W3aG1pYdOXX9JsNJIcHk6SjROM7Hgw2GXnJ4CTk3eEtOmWGadUKjkBIQ1k554mMEhhVedR\n9/keDKZqZDLbkdRm6tHpqxBwwmw2W229yTxXxsRxU7rN9QxQohWQdzoyr7+SU2WhFGdJx3McSKkx\nKEIElYoWl2jq6kpwd7d8Hh+dbsa8eHz7K4i5qYnoYRGMnT2F93cepWXG7HZ50hgXT/EltVhXAAAg\nAElEQVSwUD458neem2EZaq3V6tHIPSnSd6gDrv/vh7xjFJiWcYYROj2ZDmpyJ4xl8b89T+vd52rS\nliLVd5wJ3LVsy1ZVaD049OX5pIyayfg4EZ2hlYqzSkImSagrvH+93vgeapybNSWkh7u1D7z3oFiz\nBvP77+NbUkK9VIqjyYS7gwNzliyxyLncV8k089w5Nl2/jjB5MoJCwd6SEkL+/nfGLlsGrg/+XXlS\nOGCXnQfV9+PAEQSdlQ0gKtqLy2dvMGL4tCHX53s2AWdE0WBzBivghFLhzcIFz/PRx79n6kwfHBzb\nPuz5V2pQyiIIDoq26fceQjGjHADJyX24MOCyM1hGuIYteYGDW/6GXCxkVLQDlZU6Tl9q4aJrPJjN\nIJVCQQFjSkpYsno1uw4coGnSFKt1QamLCxlNnjzXxb7vaC3z1/4QFB0/GPJwD9L2zOLqmTMcy84m\ndHw0K0e1dfDephdDnD+STs+1a9mWzQU5ShsCQ9+ejwCoUSnANVLPzs++JGNXLmKVF64HHQkarWDp\ni1Px8vLqh+/ecTJvZbKlOocauYCnQWShTyzDU8cMaFs7jp/HlJRkU99RhYbyl+c6/pNdE2HcQ28l\nU61Gw56iIiQzZrTbJaGhlPr7433wIKtWr+6VHzvn/rDLzk8ARNH2v7mlWYejk/U+0qGESRNmc+rc\nu4weZ3lO6/WCWmKiZgHg6urC8+teJz39LC2aShClxI9aTHiEly2Xjy0EQWDWiq+TU1PDrcIreEYG\n8OKsCJLLy8k+fRq92cyE6Ghipk2jSK+nyWhE0s2bd4vMi92HrhMbDs3NZm6WO+I76WsouuFHjh9P\n5PjxoC8fzFvsFzStzbzzzc3czjSSxPeRIoc6EK+JvH1pE2/8ZTad4wW6Q5O2gfeO7iJPaUAEgu9I\n+bb/PLzdbGT0AnZcOsw7I3WY4iYDUAxczitg9YVDrI2ZYbNOf+AoUyDq9Qg2/jfyXiQ96Qv2HD5M\nU2qq1QubRKnkmuERhf1/RWGXnZ8Ajlzqhl5ntNrHeiajklUrlw3JPt+Dt68CV5cQjhwoZlSSK3K5\nlKwLtbg4+5KWGtz+2TKYypk1K7XPbT0OsnPXfL75MhnJyePR0zbTKVSrmTh/fvv1Ir2eC1ot7j4+\nmMrKkAZYr5n7qB1pWfDvlN66iTrAmajpQVzQau97RJxCW01TfhGXLp9EFJoRzRJEs4KlS57FwaFN\nDu/N/71Eq7J47mAdRW4rqtyWbf3mXegzQxhJUtvAexcCAn5XV7Lhgy2MnLKwR986XSv/XrKephef\nat++c1sUyf98C/+RtBwnR1eLemazmY9bijBNm27RF0PMCLbkHGJCa2r7MsiDRsenqmey8cAmNAum\nWFwXTSYcTaYeJWZbtp44N7Tabl/YGgVhQNv6qnPALjsPqu/HgbP8mTg++PAtQocbiYh0R9Oi4/TJ\nGsaNXoaTYwA6vXzI9bmzbcrk+cikHpw+cxqt3sCq5RNAaByQth4n2bkv/QEInTCBA6/8J6baOGQG\nGXXRWvSvjMahuIhnExJwdXIiPD7hvn4620oLaym4ns7k6d5A2xqk0Wji040f8/XXftS+PHC//4Xr\nWDNKheVLRW+iym3ZxAY5BlpwsDG7FRDQVSjwWNWz700799H47CyLuAFBEKhfMosvz+zja8uXW9S7\nfrWAipgQG6k+oGFMOHWO+UTeje5+8Oh4B17PjuTPRzMwTE5BkEoxVVcTevIkL61cOaCS6ZyRIzlV\nWAjDh1tdH9YHP3bO/WGXnZ8AKBQKvvbK98jJyeHCqbM4OYezbs2rKB5BVO/Vgmvk5+0GQSQkOIaE\nxPBe1ZNKpaRO7JjZ2o+AvD8++NZmJmz8Pg7mtkHPfMjEmd1/ZsHbsSQlJFjNcnuDgotHmDXNcmCV\nyaSMHq8iI+M4kyb1/pg5XWsrGadOIZfJmDBhQp/70g6jBBFzt5clKlO31+7huk6HxMZxh4JUyg2z\ntW+VUom0tdWmL0GjQRUUZPNafzFv1GQ8msI5ef4YGmCEuzvTX3uNEqP13vUHwcjYWEa9+y6Xg4KQ\ndMrHrrxwgelxDz95yVcZ9sH3CUJcXBzDR/janJU8DHz22QYc3W8yZmLbWuydsgzWf3CUV1950+Yh\nAXb0H9dP52D8OAVnc8f/WoKUlJLvUP7lZpjeQ+UeIBOaAWspzdvHiQuni4HeDb47Dh7jy3odDcnJ\noNez4ZNPmB4WRvjkyX3ukzJRi+pCEuVk4Ue8xbVW6gmYef9zmZU9rJ3aOoE4MDSUsKNHuREba3XN\n/9YtgmbPvm+btiCKIjs376P4ZCvaagmecQbmPTee4OAg3N28eGHCsvs7eUD8+Pnn+ePnn3PDYEAH\nBABLExJwGjFi0Nt+kmAffO14KMjKysLV6zYRwzuCoPwDXHB2bmXPnp0sWLBkwNusramnorSU0Ojh\nuLlZ553+KqNk903cW61nkwICDef7r3iYu/nJMJnMSCS92/d7PDObzx08MCeM4N5KaN2MGWw7e5ZJ\nN28SGBzcY/2uSHlzAsczz9J0WY0JHf9/e2ceF0Wa5vlvRB6QnHKDiCKXKF4gnnhzeN+WVlmldVnV\nPTM93b39mXNndnamt3vn6N3p3tmZ6enZ6q7qOq0qtTzKoxTxBMUTFURF8ULlPoW8M/YPFEkyOU0g\n1ff7X77xizeeCDLjJX7xvs8TyWQAalTXUL2Wy4L3X+v2CXFuXBwnS0uRY+ydGFt5OdPCw53u8+60\nafx9djb6OXOQNBoUsxm/Y8dYNXlyr+Jvz6///gus3yzGWxmCN8A1+P3Zb3njf1sh1nkcrkatVrN6\n5UoHC7UvTomgc8TgKxgQiq+eYXKa4zs5H19PGpruuPRYBoOBb//4Lxm2P5u4qlqKwkMpX5xJ1j/9\n2OnylhcSuYtZsKq+z5DVeI+gqakCX1/7gfb0yQoWZrzidJ+DZy7y6dUSyiQdPoqVlgcPsL3xloPO\nOnkyO/Ly+KNeDr4BQ0N4a+9cDvzyGPdOXuBM5UFCY3Rk/GQ6E+a83qM+JqWkMP3rrznd1IRt/Hgk\nScJWXMzcqirSOyyvecLoxET+LCSEguPHqbZYCFKrWb1qFRV9TD5y9do1mvaNJ1CxX88bdmcp+36/\njfSfLu1Tv4LOMZtMWK3dv5boD8TgKxgQJKnzG74kdf6+ri/s/sFfsOHTr9u+3FHllRh/9xlbJBPr\n/u1XLj2WuzLqlQSKPjhPSFOKXbsVC4Ez+v6ecNaiFZz48reEhFeTmBSMyWgh/+RD4qLTCQpy/Ofq\nwOkC/q7RinF+68DRADQeOOCkUCJgtVJcUsK2XbuYO326XUKH7hgSFMC6n60AOl/rCnD3zh12njrF\nA0VhuCyzdvZsQh4/2a5asYJ1Dx/y3alTKJJE/OjRzM3I6PK4Xr6+vLGyg2vTxyfEc0evEahf7nRb\n3bXurXNBz8k/f57tRUXcU6tRLBbGKgrfW7SI4JCBeyUnlhoJzYBo/PwCqK8rY0iAfY0cm82GYvN4\n5uILTz7XVNcS9d0hhy+2BxCy/wg1tXfw8Xkaw/O41KhH8cRGov5+DrX/6kWgvjXRiJEm7s3bwor/\nsrxtOVJ3/XRsqzcYmPXqZu6VlnI47xwqrQfD56UTETyyLTNWhd5A2ONSUB9cvY0xfaF9p04mMOmL\nijDdvo1t1Sq2+Pqy/cQxhj9qZPO6DXYJVp5lGcj5M2fYVlmJJS0NSZK4oSicOHKE10eNIjEpifN6\nPSkREcxfvrxtn+6WXvU1nlt6+2twU2+lUbYgY0N2Ui7BrLZwQa8nrsOSJXdfbuOOmpLiYj568ADr\n/KcTHwoUhb/cto0/27SJi07WM4ulRn3U9GffQtMzTVbmKv7jP/+J+VnatvXGiqKQve8+61/5CR7a\nIT3qpztN+a1bJHRSiSf6QTV1tVaCAp/u9yIvNYr5H6u4lFFA4datNLRA7HRP1r35GhqNptP9ujv3\nUiJBqyUqMZyoxBmtbSYTtNM0E9j2+YHKcbqS59ixNJ88iffjGc7WpiYsDx/iv2RJm8Y8ZRol1dVc\nPnKElQsW9CpGZ59tNhu/vHEDa0ZGW6YoSZIwz5rF4UOHWJyc3Kfr0WfNZBMB7ZZaBY61sGDRND7e\ncYjI8kw7qRULoQvMxI1V9Tmeh6dP8/XRo1jVasbExRG1fLnd96Cn/fg3NLDn+HEsikLsmDHEdCyo\n0cN+BlOzpagI6xz7NdOSJFE7dy7Fx4+TMm+eWGokeHGQZZnN7/yEHTs+xmRpBGyo1UGsXL6JgADn\n9Vn7QvToeK6GhRBZ4VjU4VZUOFMj+n/SSm1tDfnnixnrPYzo4dH9fryuGD9nIuPnTOzSiu1PvGw2\nOi7I0Q4bhqWqCt+vv6YhPJxHVy7j9857DvvKwcGcKizEFVPxbhQW8mDUKJyZt7cDA6kuL4fA7rNg\n9ScBIUEk/bWNq397jLDqWUhINEtVNGTs4P2/eYUHfejTZDTyP//X/+JeYCC+r72G7OHBg0ePyPvX\nf+UfXnmFyF4siTpw4ADHTSZMkycjyTJKUREXzp3jR6+/3usCJoNJZSexqnx9udvczEAtqBK2s9AM\nqCZjQQreuig7TXffj94cy9sH7malYfpkh10CBD1QmZWKWtOM0dTc1u5K29kLFVs+3krj2TD8G8Zz\n8de3YXQua99dSKB/UK9tZ0VR+PJhDg8ulGOVJKI8PMjMzORyB9vWHa29JwxXqag2Gh2yJnmXl/On\n77zD5U//Kw+He3BC4/ydZg24JKvSVb0enKzjBbCqVNwyGrnjBtcsZtMMfGaXcfn3X1HRoJA4w5+0\n1et4IMt9OtYXW7dyNyCAIcufvktW+fhgXLeOX+zbxw83bepRP/dKSzmgUqGe+rSAh5SUxInwcPz2\n7Wt7Nz4Y3zur1YokSRQYHXPYO+tHcvLaA0CxWDBbrSLDlSs1/dm30LiP5saNCs6dP4h5ZgA/u5vI\nxItljKl/xK0Rw6hbksWyn/1hv2a4+u43O9EcWkpE6yIRvAyBKBeS2fnFZ/zZ/2lNft8b2/nn2R9x\neFYiqvDWcn83DQZufvYZ77k4q1F/av507Vp+/vHHFMbHI8fFYW1qIvjUKVZMmkRzwWkyZweSf7WR\no3U1qAKCHPodLkkuiXFJairXvv6aGiepNkdWVzN5xAiCnLgDg3HNYhJimPbzGKduRW+Pda2sDF1a\nWsddALjr40NwSwt+Q4Z028++S5dQO+lHDgridmGhnXagruGdsyXk/LKEpvM6UNlQTW5mxs+mM3Rk\nZJf7eYWH81F5OXRYQuaVm8s7ixZRo9MJ21nw/PPoUTM3btwgLCyciIiwfjvO3TtlFBbvY+a8EMAH\nMkbQ/MjIx1tv8v33/4qQkGAePLzOwYO5SMjMmZPu0rW/VquVu8dlwh8PvE+QkODcJIqLiwl2Vj2+\nE86WnOdI6ghU4U+vmezpSdnixXx74ABj1q93Wez9iUar5W83b+ZAQQEVp08T6O1N1uuvc09RKD+y\nHw9PNRlTQtn3zRbur/lDO/tSXXCepS7KqqRSqVg9ciQfXbqEefzTRByeZ86w3kmijBcFvcWCytfX\n6Tabjw+GdoNvVxi6sJWNg5Ag50FpGRfeKWf47fW0RX8XvrzxOd/LWYiXt3en+y5OT+fhtm0cuXUL\nw+TJKC0tBJ8+zZtJSfgHBFAzQOuZhe0sNP2iURSFL7/6ELVGT3SsN6fOGqiqUJOeMYNhQ8e4PJ4T\nefuYk2H/VOvt48Ha1+I5fmIPimLDotxi0pRIbDaFz3f+A9/d9cYYNZoJwUPJyMxEkqQ+W053ipqx\nVjofzP0M8Vw4coBEjf3g25XtvKfkOkyZ4rBdUqkoMhoHLcH9tRKL3axugDvl4Bve+WcATd0YFia2\nFmSvvwF3yk3EBqdzMu8I89ND+dtMDf+x91+4qo3CpPbAu6yMhWFzGRYznqrirvvu7vhWq5WCK2VM\nipnIDx7d59CuY9y3wnCVxIKEaUTpoqkq7tl5PG+aaL9ICi9dwne+Y0qzgNL7ELOEqobu+wlv9sPa\n1OQwkCuKQmCN0vY3Gqjz2vePZ4m6vc7hnCIurmXH331L5ttLuuxn+Zg1zGuqI/dALrUGD9bPfR2V\nWu30e9DXmAGY6BBiG8J2Fpp+0Wzf/gUTUnX4+bVOYokY2vpDPbj3GN9/f06P++mpRqt1/lX28NBQ\nWnqLSVN9GDGy9V2zLMPCjBhCrlTzD+qRHAwMhV27+N7j5Pl9sZz8x2oojqyDa44x1PlcZOHiMXi3\n9Nx21jmfsA2Ar1o9aPZogNHD0XKv9qD98siOn7vSVJmmcvfWJYaP9OUvluiw2Zo4d/IuQ0e9Rphl\nOiHWrvvp7vg7txzg8q5mKB3BriEX8E+t4m/+fBWmMv+n19767Ofhrprvj5jOjy/txHTvHtp2yUvM\nFy+zOXg8o2yePeonZuJiznz1a+6/vait6hNA0HfH+GHSQoZaPQb0vDT3vFpdpQ6o0aLc0pDQk3i8\nwpk0fQ1VxRAi0en3oK8xd4ewnQUuR1EUGh/dxM/P3maWJIm4RC2FhUWMHetaq89mUzltVxQFk6WJ\nER3eAwFMGhNM9HenuZPwFsdLSni1rg66sKu6QpZlErI8uF9SibcttK3digXP6cVEj3jD7gmuO+aG\nxHPg1m2kkdH252O1Mvw5mlnaHRnTNnG28BBHL+dhMRlQqX0ZP3IdscOTenW9nLH3mxxu/ksiYabh\nrQ3VYNtv49eNn/LuH2x69uCfA1JjxvN3dyR+9+027nqrkHQ6AqqN/GR8OnPGT+txP2q1mr8b+RZf\n7txJkYcZi0piWLnMH0yZz9DgiO47cDEaP+eJYhSUTre5G8J2FhqXawwGI1oP5+9NRsYEUHD6PPEJ\noS6NJyQkiLK71Qwbbm/9nj9TTlho50tIfFWtP1TDxInsPHkSLyeTSno623nO5MV8u3oP905ZkR8O\nwzqkCv9xDax9tfW/697Mdh7JJKYc+C2nVnqhCmu9VjajkeD9+xm2cuWg2c4dk0NA3+rwtv8cmDCL\nQGZxs9BK7NjWtlKTiZt6KyMNEkcuHqbQVI0CBJb7sSE6C5Wq8+M9+Xz622oiTfZ2q4yM6mwa2wtO\nkhk7yaXn0ReNxWIh9/JRbpY2sjxgOsGB4X3qpyuNzT+O/5H2X4HWf0b37T/NpaoyNPdLCQ8Z1vNj\nKWpembGOV558LrSiBKrsvosDdQ0j0kO5ln2NIPMou/3KA04wb2lSW0yD8Tdtz1CnRSdbEbaz0Lhc\no9UomIzOp9iX3qhlzOgVdvu6Ip55c5ewb18OD+5fJ2VyCGazldN5lcSNnIvVdBubzeRQOclstnJP\naR2slbo6xoSEENjHmY4B8RKhWol3xizFYrFwNb+C2Emj0XnaZ/Tq1WznxHf48PJBrpZcxyJJxHt6\nsuqdd7gvy13GoygKLU1NjFCp7AYpl1jTHZJDQN/q8PZEM2SMiX//9FMKpk5FFdh6k7U2NlJ57P/x\nt+++i1qt7rJvW73zG98QUyxNQ84RkGKferO/zqMzzY2ii3xw5SLVadOQFyRw7sJppl97xA9efRVJ\nklwez63bt/nVoUOUZY1HDp/InssXmVh4iD95/XUCx1oH9NyfVTM3JZW7hr08+E0pYfcysGLmQdwB\npvyVH2NXjQCUQY+5O4TtLHA5kiQxxD+e+rpyhgQ8rQlqs9kovW4hc27PZ/32hpUr1tPQ0MjRozlo\nPTxYs2olfr6RVFVV8+2+f2dOur099p/7y6md9wNUwNDLl5n09tvccpJarreo1WrCAiPROV9W2i2n\nLx/gQX0eklaP2uzN6mnzGTVx8lNBF7Mxt+zZw7HaWqq8vRnS0kKyRsP7a9b0LZBB5uTx4xRMmYKq\nXfILlZ8fV+fNY+eBA6xZvLjL/TWhZnBSs6NJdZ+gUY7LmgYSQ3Mzvy4s5FFmZltlJ0tKCkfr6gjf\nu5dX2mX7cgWKovDP2dlULFrUdjzrhAmc0ev5YPt2MlescOnxBoKZP8wg7HtGjn+1B41WTcqKNBL9\nnGYNd0uE7Sw0/aJZuHAuX2/7GIVaIqM8qK020VivY8GiOV3mcX7WeDx1sGBhWlub0aTFzx9mzVjG\n4YPfAibKG1u4KIVzY9bbSLKM1/79LJ08mVtm86Dndt574DMmbLzAnNm+gBegcPnKVg4cqyFu2vwu\n49m7bx9Hhg9HnjgRidYiBjl6PQ8/+YQJqx3rwA52Io5z+fmcvnOHJlnGz2olZPhw1kx/WgYxr6IC\n1ZgxHbtC9vYmv6GB5Mf/hHR2fN9lKlrO1eBlsx9oK6cexGf2on7L29wTzScHD9KYluaQxVkOCODI\nhQtM6mPu7U7zWp88yYPU1LaBt+14Oh2nWloIcoMEI33RpOh0JGxMb/usHcS/qUiyMcB9C03nmnVr\n30Sx+XLnThkpY4MJCBiC0VQ1KPHExYUQNXwYHtoQFEVhz4nTXLl5BUWrZcUbb6Bt9yMZrNzOBqMB\nzwknuHZW4mKOntQsHUNH+DJuTADlOccYOWtB2zrYjscfoVJR2NiIHBpq1y7rdNwMDGRFUxMxTqoE\nDdas6UPZ2Rzy88M2bx4AtcCdq1cZl5fHwrlzAQhUq6lx6KUVrw7JN5wdf+SfLubrxl08/NIPv3up\n6L3uY5t5mY3/ZzYGL69BTUwSIMsOWb+eYFM9zeHsqnjO1NejiotzejyTRkOyp6dbJBh50TRdIWxn\nQb/i6enJqFHOf/SDhSRJLJ01laVAscmGVtu3+quuZssXn3FjVzJD725EjSff/PsR/Fbu5o2/8SM0\nUE9NZSXBYc4TlTTU1lITEOBk8QWYRo/mWlERqb3I4/usmM1mco4cobGlhXnTp0O7RA5ms5nc2lps\nEybY7aMkJrI7J4cFioIkScQPGcLV+npUHZJA2PR6xvRgVrokSaz72Qoe/Vkjh48XMD52KCMSW6cL\nDXZh+BFBQeRXVaFysjYlXOl7veXOSE5MZNvVq5CY6LAt1GJ5rnIzvygI21loXmqNu5QUbHxUz/VP\nAxhZ/9QeDmuch/7TcXwX/VP8ExUeyjKNndiR4zw90TY24uyNtXS/jMAQtcPv8LbeCjx9n+rsvMr0\n1US2K0fQcR9n+23Ny6Po9m0eTZ+O7OXF1txcIpqa+OP165EkiWsFBTR0UuTgQWQkJ0tKCI+Oxmvq\nVKK//JLbc+e2JXewtbQwNDubiZs2tQ2g3f59PD0xzhyPVafrdJ8e9eNCjZycTNjnn1O1bJnduln5\n0iUmjRrV55KPndqzI0cy/OhR7sTGIrXLo63cucPEoUPd0lJ+3jUgbOd+7Vto+q5RFIWTeaepqS1G\n5+nL/PlZeD5Ofu+KY1kslm417lJSMPvDowyvdyykrrMFcydnOCOG1TG93VOSs3iSbTbyzWb7m6ui\nMLb0Gps3zsPDyUzM7s49BpmYDvt13Kf9fg11dVx88ABzu4lEypQplFVXU3j0KCuyslACApDKyhz6\nAFC3tJDg70/w4/7WvPceuw8c4HJjIwoQ4unJ5s2b+1QOz9Uam83GoWPH+KSlBauiEOfhwbqFC8HJ\njHln/cxbvZpf79xJqU5Hi0rFSEVhRWIi01NT+yXm//nmm/z7tm2cs1ox63SE6vVkRUayNCPDJXmk\nhUbYzoLngIaGRj77/P+SMlVHcrwven09n235R6alriYuoe9l/xRFYdfurdQ1lKBS67FadAzxi2PF\n8le633kQMTVKqDr5Odbc07J8zsZu+/jjtWtp+fxziiIjsY0ejXT3DmOuFvIPy+a5OtxO2XnkCKa0\nNAf7Ww4O5lRRESuA2Ph4wo4fpyYhwWH/2JoaO2tdpVKxctGitrKCpSaTw8A7GCiKwk8/+IDLs2e3\nPZUXm0xc+Ogj3t+wwa6+cUdqqqr4zZ493NfpMEVEEF5fz/yICDY6SQHpSrQeHvx4wwZuGAxE2mx4\n6nTCbh5EhO0sNIOi2b7jY7KWBretvdXptMzLHMqh/VsJi1zWaT8NDU18d2APZkslKpUaCT9mpqUz\nJLA1WcY3O74hfrSecYFPnxLr68r58qv/JGvhZDriLraz/5Ah3JYq8FYc3+n6TAlCHxHZvc0qy7zx\nxhs8uHOHkvx9LImPJHlT68DbrL+HzWbDZDLj4aFFkqQenbtWX01ku9tEx3067ldmsSCpO/kngqfv\nWseMH8/pgwcxzJmDpNViMxiQc3JYNHt2r6zhLq9HP2ryT5ygcOpUu1zHklZL2aJF/G7PHv5g7Vqn\n/dhsNn6xdSu1y5a1DXzlwDfFxehyc0mZPNnpfq48rwKjEVmng3bL6tzdwn0eNSBs537tW2h6r1Gr\nApFVj5BlxzV5E1MDuHyxgnlzU+3aPbQhmEwmtm77D7KWhCLLw9u2HT20g8z0dei0PlisFQQE2j85\nDwnQYVHKkZRgt7Wdl4+ayd+f/j26/E3I7RaElIceZeGPxnd7fLuZv/HxzBzhS4xWw9mzZygsOkF9\n411aWgzYFIiKjGb4sBSi09J7cO7BeGifPmk6u17t90sOCOCck0lSACPa6ZaMH8+7o0ezIzubarOZ\ncA8Pxq9f77BOs6fW3kBbi99UVyOPGuWwTdJosHTRz8HDh6meORNVhydO9ejRfPL73+NvtZI5e/ag\nnZfQuFbTFcJ2FvQ7586doaj4BEiNWK2gIhyNh/OC1kMCdJTdqne6LTt7P7PnBzhkqpo9P5yjRw+R\nPDGdYcOdW5LDoz24VXqXgJThTrcPNrIs8+NfvMIHP91G4y0NVr3MkAQzKRtjSUh1tGd7Qm7uUR4Z\n8pmdEQC0rpd9+KCBa1fLUTQFFJyQmDp/vQvPArLmzWPHb35D7fLl9uUBz59n+UT7Ei9e3t5saJfc\nYbBnIPcGuQu7tisj93ZdHSondjuAadgwPrRY8D93jimTJjnVCF4chO0sNP2qKSi4RGVt/tM6u4DZ\nZGHbV9VMm+m49KXgXAUTxyc4TcTR0HQHL2/HtFGSJGGxVTMkQOZKiZHh0Q4SqqKQ09YAACAASURB\nVCoMhCeZnHwXmzt8bsDYwVbt2OZMU1Xiia8c3Pa5b0k2fJgVt46oN5+25Pk+6lMyCE1LFTdLjjE3\n094FiBjqz43rlYSGeVFw4jSlplVd9tNb2xlg5pIlXMvJ4TZgUakIVxSioqPxjovr1lJWFIW8Y8co\nqqqiymZjtFbLgvnz8X78ROwu1uKIoUM5cf8+qkj7gh02gwGtLHeae1tRq7Hp9a22bwcUiwXLqFFs\nzckheNw4t7dVhaZrDQjbuV/7FpquNddLjpE2175No1UTHOLJlcIqxoxt/25Wj8U4jOFRY50eS5a9\naav71QFZ8mZoRAKNdf4oj9eJPkFRFOprfBgxfJxDv+PAbhZwDBaHWcEd25xpAuIVPHppO1usFgru\nHqOh5hFTZycTNSzKQTNapXGws6F7C6yuRkVAME6ZOCmKossPeliasHe2MwAREWzctAlFUVAUBfnx\nYNQT227Xl19yYuxY5MeZrfItFkq3b+fna9YQEBTU6X4DbS2OnDGDW598Qp4koRo6FABbYyMJR4/y\n1saNnfbz1oIFnP3iC+ozM+22mysrkX1a/zk1tPu7uLutKjRda7pC2M6CfkWhCXBMiJCxIJHd22qp\nqaxDks2AlsAh8by6fgUmc7XTviaOT6O4aDujk+xHleqqZkKCowFYteItvt72G+ISJaJHBnDnVj0l\nV22sXf0+4D6lxgrOXeabn18l+G4WHvjx6QdnGJJxgtUr1oND0sHe4+HpiUHvPFlDY4MeX18P6h51\nTDboWiRJ6tVs2hvFxeQNG2aXpUtSq6lavJhPDh7kh6++2m0fRoOBvXv30mixoFUU5sbFkdoPFq4k\nSfxk40aGHzvGndxcrMDYgAAWvvced6zO/0GExzOOp03jv3/+OaZZs1AHBKA/fx7FaMT38YDs3w9J\nNgTuh7CdhaZfNbZO7kN6vYmRI4czc/YovHVPi3ybzNWdHit6ZCBXr0dx7vRNklPDkWWZq0VVVFf4\nsmTZSIymKry84c1N71BUWMypYxcYlTCVNzeNBiz9eu5VJT54yE+fqruynU1mI9t/eo2o+0+XPwU3\nTsGwPZHPyvaw8Y+fzvYu9jXTFGt/M+6JBaaVW2h55OHgAgBcvnifWXPjuVip7bY0YV9s577advuK\nimDOHId2SZK4YrE4TTzRvq9H9fX867Zt1GZlIT9eL36qtJTpX3/NiKysXsVYW1XFhwcPYlKrkYDh\nksSKrCyudXiykSZOZHU7C/mO1drtuXrGxLBywwa2ffQRhoQEdCkpqB4/9Sp37zI6IsLlSTaEZuA1\nIGznfu1baLrW+HjFoNfXo9PZ37Tyc2t4/dXNIDX26lgrlr1BRUUlR4/uQlZ5kZyczuKsGIec0Skp\nISSNHT1g5x4Sr+mx7bx7+2HC7jtW5PHEj4Y6i0tsZwgmYdFb7Nj1n0yd6Y+/vw6j0czRnOtIaDh/\nSmbZK2/j1R+2s9N+uteEq9Xcd9irFV27Moqd9f0vhw5Rt3Sp3YQ8OSaGM01NTK+uJiY2tkcxNtbX\n84v9+6le8DSXdp3NRuX27fzRhg2usShDQhi/ahUf5OdTVlWFxWAgoLCQzCFDeLVdRSN3t1WFpmtN\nVwjbWdCvrFr1Kh/9/t8YOryGUaODaH5k5PTJGiZNXIaHhwfGPkxwDQsLZcXKFU4HyeeBpmoTWryc\nbrO2uO4nGR4exuZ3/pLDh7O5XnSbqgoj4eEzmDF9JkMjh1Jscj7j/FkwGgxUP3xIVGQkml7ciACm\njRvH+aIilKQku3bFZiO+XV3iziix2ZBkR8veOn48eXl5zOgw+HbGlwcOUJ2ZaecYSLLMg/R0srOz\nGbVqVRd795xxY8bwq9GjuXrlCldra1mydq1dgQ/Bi40YfAX9gtFoxKbYUGlVvPvOD7leUsLFMxfQ\namHT69/rcZai48ePcvvuWVRqCWzeTJuaSUxMTD9H37/ET4zkmPYWfqaRDts8w4wuPZZarSYzc6HT\nalJ5p85xprwRExDr4UHyvHldZmbqCrPZzL999RUXVCqaAgIIOHmSqRoNm9escVga1hlRsbFkFBVx\n4PZtpOhooLWIwrDsbN58/fVu91c6eb8sSRK9eYt6V1GQnAz2sk7HAxcvh5IkidFJSXiYTGj7eO0F\nzydi8BW4lCNHsrl99xwaDz0mow2NKpK1a94kIT6ehPh4jKaqHg+8O3ZuITjiAWlznyZeOJv/BS3N\ny4gfFdFfp9An6sYa8dA+HTjvJphQd7iZPmmLTUpi/7ef4b33TbuUkjXB54j6bxHUjX3aT5PJRAiu\nvyn/9Iud7Iwdi5Q2DoACg4Ejn37KLzdtwuvx+8fe8M9ffMGZmTORPTxQA03AgaYm2L6d99tle+qO\n99auZcLZsxzPzaVGUUj29mbF22/36IkwBqhw8o5bunKFKePG9TgGjy4mPGlsrncLBC8nYvAVOGAw\nGNm961P0pnJAQS0HMm/uHMLDu7Z5T5zIQ9JcZ3b606o3ZrOVjz/9V97f/Ce9iqGurh6DuYShkfbr\nVFOnhpJ7JIf4Ud0/CbkrkiSx+bM1/O7Pv8R8zBNLkwrfMWYmfT+SwPTx/X78givX2R0ejdRujars\n6Unt0qV8vHcv31+3rlf91VdXc8nPr60+rbmyEiwW1BER5JtMvGU0Qi9mPU9JTWVKaqrT5UldsSkz\nk5Jdu1ot48dPrraHD5lbXU2Uk4lcnTEtPJyCigrkjuUbS0tJ7aF17UrOXLjA3itXKJMkghSFGaGh\nLG+3VKn8wQO2HT9OrSSB2czGtDSiHzsHAvdFDL4COywWC598+gGZi8PRaFpntSqKlR27Pua19X+C\nv79jSsgn3C0rYk56hzW9GhUxCTaKiopI6vAurytOnDhKymTng70i1WHtYjnH84CnTkfCe6O4OKOI\neklCttkITgqiN89VVquVywUF3LdYGJGaiqoH70UB9hTfRJnmWGxBUqm4bun9cqxbJSXoY2Kw3ryJ\n8do11EOHImk06C9dotlioaaiAsL7XiyjpwSHhPBPa9fyH/v30wRoFYUZERHMf+21XmXPSp8zh+Iv\nvuBYbS3S6NEoioLq0iUWGAyMWbq0/07ACcfy8/lNQwPmuXMBaABuVlVRsXUr761dy9XCQr4qKaE5\nLa3tif+vzp3j/YcPmTN9+oDGKugdYqmR0Ni1HThwiFnzg9Bont7IJUkifWEke/Z+zpo1azrtB+kR\n4DhgxsQGcO5kPnHxoT2OR1aZMJmsqNWOA4rVYqPFUGY32Az2NextgYZTublsNxiQZ81qaztz5gwp\nd++yetq0bvs5feoUB27dom7MGJBltn32GZkjRjD18Q234xKh9jFbrC0OfT7BoCh2A1VPlhrVhYbC\nxYuYTCb8Fj+dxa1LSqLl1CkuVFTQ4t/18iRnbX0qrKDTMXLhQlLaLf/py7KdJWvXoioqojk3FwmY\nnpJCxPDhA7505fC1a5jT0+3apZAQckpKmFJRwZaCAgwLFtiltDRPmsTH2dlEJicjy7LbL8l5UTUg\nlhr1a98vmkavb8TX1zGFo0olg9xit2/HfhTF+RetrraF0JAJbfqexJORnsQXX/0js+fbv9tVFAWV\nFIqv9wi3uoa9KdBgtVr5xb17yB1uqpbJk7l58CAx7RLrO+vnXmkp/9nYiDkjo60gfaMM+/bvwK/i\nHovWbkDW2S8Rah/zkjFJfHvzBkpsnN12xWZjrEPWqx4sNYqN5chnn6F6/32H8/WaNo2iY8dYM2FC\nvy7n6I++FyYlEZOcPCDHcvbZ0NzMVi/ns+ItqakU5eTQHBaG47+nUJuYSHNxMRMex+/uS3JeVE1X\nPHsqHcELhaJ08ZWwdf118fKMoKXZcbbuufxGZs2a7WSPzvHw8CA+Zg5n8ytQHk+A0etNHNz7kKzM\n3r2TdDeKLl2iPDHR6baKsDAq7ne22rWVI+fOYX58U1VsNobu+oAfPviC37/pw5SEq+z/6C+4ff1q\np/unjk1kwZ0SbBUVbW2KyUTAnj1sXLiwD2cEo5OSnM4QBqjroR3+smE0GPhw2zb+cssWfrV1K7/9\n+mv0LU9dCbVWi6YTu9zW2MgQH59OZ3gjy22/G4F7ImxnobFrixkZS+nNfGJig+w0DfUt+PmFt/0t\nnfWTnpHM7p3HCAipZ/zEUKoqm7h4rolZMxdjttT0Op7UyWOIfBjEsSN70Wq98ND689qrK/D0lGnW\n36O5Wc+h7IOYLPVYLHoiIpKYPevpuy93tZ0f2mxInbyzttls3LNaae6iAEFZu5tqYM42fpYOPt6t\nKRlDQnxYvAB27vmKqTHBqB/X1u0Y81+vS0N96ALFV69ilWUi1WpCVqygSqejqpe283m9HhWt/wg4\nW2cr92O2pr7uN9ia0w0NHPvqK6qWLEF6PPv/ocXCmY8+4sdvvIHW05NLFgvDTCZuOJnBPeTcORI2\nbMDn888xTJjg0H9AcTE+69aJTFnCdha28/OimTx5Hlu+LMFsqmbU6NYcynfv1FNSDJvfWWd3E+jY\nj58PvPP2ZO6X3efsudMEBA7n/c0LHG4cvYknekQIERFhDpqG+ka2ffMR8xeEotH4AX5UVd7m668q\n2bjxe306VlealmYN586dITgohMQxw57Jdo5OTmbXJ59QNdyxvOGwqipSO7R37Cdalil4fEOeaL2H\nj7djvPNmhXAyr5CMjKezYjvGvD4j067N+ezinmW4mjN/PsVHj6JPS7NrV1+5wisTJuCr0z13tnN/\nag7k5VGZlYXcbtmdpFZTvXAh5w8fbiu1mL5sGX+7dStlaWmoAgKwGY34nzjBD1JTifP0ZO24cWw9\ndQr91KltvzPNxYu8HhNDnKdnp8d39+vzomi6Qsx2FjiwatUqbt+q42xeHpIEcbEZbNo4rMdJ8iOH\nRRI5bBVGU1WvEuv3hoPZ+8lcHGaXwCEk1IemEXUUFhYyduxYlxxHURS2bduKSltN0vhAamsu8vtP\nmpk/5zXi4xP61Kcsy7w2ejT/lp+PZcqU1iQQioJ3bi6LnTzFdCRjxgyunzyJfsYM/FXObUk/Px23\nrtb2Kb6+EBIWxg/i4vgkO5uy2FgUjYbwa9dYOWIEE8aNG/BavYqi0FhXh4dOh6eT8n2Dze2WFmQn\n73NlDw9KDIa2zwFBQfzz5s0cPHKEgqtXidZoWL5mDV7ercVKxk6YQHJYGDtyc6kBsFrZkJpKQic1\ngwXug7CdhcapJnpkFNEjl3SpGcyYTdZKZNmxHnBMbACnc48TnxDmkmPt3/8do8YaCQhsXSrj5aVl\nWJQ/2fs+JWLo99sShvR2tvPQiROZ7+ND5bFjPFKp8LPZyJw1i9u+vt0WO7gXEMC62Fj2ZWdzr8a5\nfV16q46oqIQuXxP0JOab5/K5WvqQGllLsM1ITHw0iRPtJ4o92S9o7Fh+lJTEvoIC4lUqYl55BZVK\n1a/Wp7O2zw4fpqy8nJohQ9Do9YwwGBgzdy48Lv3nyuP3VdPQxZIuvdXqcM0SZs3ikV5Pik5HOUC7\n1xIp4eEseZzy8rxej1qn6/I7NNjn/rJoQNjO/dq30AyORiV3/qVWqbx7NbO6K01D4wPGBQY47DN1\nZgh5eRfJylwE9M52biMujpjHdWufENjDurcxKSksSUnhxD5frl7LJ3HU0xgtFiuXixT+y/fsE0v0\n1io/cPQoH5k8scx9WmXp5MUC3j93zmENafv9FicnD7i196Tt2KlTFHp4oGRkINNa/fmmolC/ezcb\nv/99JEnCYrFg1WoH1aKcExnJVieJPKw1NcwNDW3Tu7utKjRda7pC2M6C5xKVNASr1da6BKodJddq\nGJe00mXHkWTndqmvryc3mupcdpy+MnPRavYf9uBuzkl06kaMZhUWVRQLXn22DGA2m41v7tzB0mE5\nlHnCRLbl5DB72rR+e6XwLHx38ybK44QUT5Akiarp0/li61aKDQZKVSqsNhuJwFszZw5KNqjJaWmU\nbdnCKaMR+fE7ftv9+0wuLGTB228PeDyCgUfYzkLzXGrmzJ3Ijh37mb8gHE/PVuu37F4DVQ99mTsz\nCKOpyiXHslqd/0QqypsIDo5s+2731nZ2peZRykxS0jKxmM2o1GokSaJafx2j6em7w97azjcLCymP\ni8NZFu67Q4dysqSE8MeD1mBbe+3b7neyvEYVEsLnu3bh9e67bW1XgP9+8CA/WbQI34CAAT2PCwYD\nq197jYTz57l44gSVFgvpMTGMe/11bpnNLj2W0AyOBoTt3K99C83gaEKC4b13J3HgwF5aDBVYLEZi\nRs7gjddnuPRYCbEzKL15ipjYp7auoigUnNHz/e8tanv665Pt7GqNXVvnSTae0FXMNm9vpKYmh+MC\nqEwmYr29CWu372Bbe0/aghQFZ/m7rI8eYXUyCall/nzOHj/Ou4+LPwz0ecRMm8byadM6zWPt7raq\n0HSt6QphOwueWzw8PFi2rHWiibOSea5gxozZZB+q5ljONXz9LehbbJgMXry6/o/c0nZ1FbEJCUSd\nPMnDuDiHbSOrqghrV5TBnZgeFMSd6mrk4GC7duO33+LzODVqeySVinJRqUgwCAjbWWiEphtNSmo0\nMz1nUl/XiM7LE6tSiZfObPe9Hkzb2Zmmq9zOPY05Y+xYthw9hGnWPCRZRrFa8TiaQ8b4iW4zm7Zj\nW3J6Orlff025hwfmiRNRamsJvnwZT8DQSSlLq5PZxQN9HkLz4mlA2M792rfQvDya8PDWLFJGk0ev\nZw531tZ/mmeznQFiUlOZMVRHTt4RqpEJw0ZaxgzCIhzt28G29tq3/fG6dYTo9Zw8c4aQwEAmvvsu\ne86c4ZPr11E6WM/ypUu8NmmSmF0sNP2i6QphOwsEgk4JCg7iz9c+rVRUbHo+LFpff3+yMjLaPo+Z\nOJG1hw6x58QJHk2eDIqCX34+q8PDiRcJKQSDgLCdhUZoXKB5EW1nZ/10ltvZFTG7wnbuSjMpPZ2k\n5mZOHj/OPYuFV5cuRevp2Wahu7uNKTTPlwaE7dyvfQuN0MCLaTs766ez3M6Dbe31eD+tljHLl4vZ\nxUIzIJquECUFBQKBQCAYYITtLDRC4wKNsJ2fPeb+tp2FRmiE7dzDNmE7C83zohG283NiOwuN0PSz\nxmKxsDc7m6uNjSzbuNFB8wQx21kgEAgEAhdgNBj46w8/pHTePFS+vl1qhe0sNELjAo2wnZ89ZmE7\nC83zrtm2fz+3Fy1C1UlCl/YI21lohEbYzj3uR9jOQiM0nWtOWa1IPRh4QdjOAoHgJcDY0sJvd+2i\nxGJBAkJkmT9avhwPT8/BDk3wAtGbFDTCdhYat9UYDEZ2796B0fywtVSe4sO4sVNJShrtdjEL2/nZ\nY+4v29lkMPDzTz/FuGwZkrr1XG6YTNz83e/40Ztvon78pOKONqbQPF+aQEXhnqL0qOiKsJ2Fxi01\nWk0wH370T8zL8kejiW5rv3g+Fw+PQOLiotwqZmE7u6/t/Pm+fRgWL0ZWP73dSVotFZmZFB49yurF\ni3vUj9AITXeajEWL+Ktt26hcsABJpXLY3h6RZEPglpw+nc+4ZDUajf0XeEJKMOcvHB6kqATPIyUG\nA7KT9ZaylxfFndQsFgj6wpDAQP5h3Tqy8vOJP3GiS6145ytwS8rKbpA8zc/5RkncMAU9R6UonW8b\nwDgELwe+/v6898or3erEk6/ALVGrPTGbrU63KYr4n1HQcyYFB2OtrXVot1VUMHXo0EGISCAQg6/A\nTZk/fyH5uRUO7c2PjPh5Rw98QAOI2WRi1/79/Hb7ds7m5aF08eQm6J6F6emMys/H9uBBW5v17l2m\nFxYyd+bMQYxM8DIjHiEEbomvrw+j4jM5euggU9NC8PTUcPVKDRX3fXhz01rMlprBDrFfuHntGv94\n9iw1aWnI3t5YKyvJ/81v+G/r1zMkIGCww2vDZDRSXlZGYEgI9MNynaaGBvZmZ+MlSUwdNYqkpKQ+\n9yVJEu9u3EhlQQH5eXmgKERHRbFi48YezUoVCPoDsdRIaNxWM3FiPKNGRXEwexcoKpLGpJM+Jxqz\npcbtYnbFUiNFUfjw5EksS5a0WVKq0FDuLl3KP+7cyXsbNvSoH+i/pUa3WmD3jsNcslhoiojA88IF\n/Orr+fGaNXh6e/f53Nu35Z44wd6KCiwzZiCp1ey9cYP4Dz7g3TfeoMBo7FPfFwwGUpKTWZ6c3Ka5\nZTb3OUahEZruNCAKK/Rr30LTvxoPLSxfts5t4unssyuWGp09cwZDcrLDj1KSJO5rtQxTFLSPf8yD\ntdQob/d35I8ZjxwQgJbWpAJ1Vitbtm3jp5s3d9FPz5Zq+Dc08F1NDdbZs3nyTCrHxVESEcGp775j\nxqJFg76cRGiEpqearhDvfAUCN6GqthY5MNDpNoNOh9FgGOCIwGw2c/ZiETdKb2Oz2chvNiJ3sL8l\nlYpr0dHcvHnzmY+3+/hxjNOmObTL3t4UPHr0zP0LBO6CsJ2FRmhcoHGF7Tx0wgSU48dhxgyHfQMb\nG6n09KTKZBow2/nAgQOcqqmgfvQ41FW1xB/K46FVhbM3vLaEBA6fP48UFfVMtl251YokO38maOhi\nv570LTRCI2znHrYJ21lonheNSzJchYcz2WLhXE0NUlBQW7OqpIQ1I0cS2+6H3N+2c86JExwODERJ\nTkYLEBnJzdFjMG/5Aq3R6JC0QiotZVZiYtv+fbXtwiMjOfvwIXJEhMO2OFkmRadzO2tRaISmq7bO\nELazQOBGvLJ6NevKyog6fJghR44wNCeHP/T0JHP27Gfu22azsSMnl199s4+9x/O7XMKUc/cuyogR\nDu3eK1by6MgRuzZFUYi9cYNRiYnPHGPa9OkknDuHYjLZH/fkSdZMmfLM/QsE7oKwnYVGaFygcVVh\nhQsGA5MyMpjUThOp01HabjDqi+185UYBPz1eyZ0Zc5FHBWGrqiTwt5/z3vK1BIWGOvTjuMK6FVmn\nI/T+fcy5uRji4lA/eIDvgwesX768LcZnte3e3LCB7bt3U2gyoVGrCVcUsiZNQn5GS1tohEbYzj1s\nE7az0DwvGncvrPDPJ6u5t3RNm9Ulh4RSt3wtuw8d4qdvvunQTwSt71g7YmtuZnVqKhlpaVy7do3I\n5GRasrJce15aLX+5YQOlJlOPrT13tx+F5uXUdIVIsiEQvODcun2P4qg4h3ZJkrju7099TQ1D2r1j\nBsiMieH6zZvYYmPt2oOO5rDkzXfQaLVMmjwZwO6pXOA6Kh8+5Ju8PG4rCmpFIUKl4kcrV4oaxC8I\nwnYWGqFxgcad6/mWVdzCHBiFxkEFBn9/iqqqiPD1tesnMiWFzCNHyDu4h9roeDSPmkiqvMuc6WO5\nB9BLG7w/rT13tx/7oqmprOSXOTkoWVltbWVmM3/y29/yo3ffRX48I9ydYhYaYTu7vUUpNC+exp1t\n59TxPgR/c4gGJzOIw+7fZ+qsWagf17pt309MVhZvGx4g3X+At3c44eFpFJuev3q+z6Nm9/Hj2DIz\naZ/8UtJoeDB7NqV5eWTNn+92MQuNmO0sEAjaodPpWOJhhgr7aVRKWRkZQUFtA68zZFkmNnYk4eGh\n/R2moB1l4DTvtCowkCtOKjQJnj+E7Sw0QuMCjTvbzgBvZYzAP7eQg4VnqZE1hComogN9mZS51mGW\nckn+EfS3T+Ipt2C22BgbNZqZM2c4Pc+BPq/Bvq4DpTHbbA77PKHFYul0Zrm7n9fLpAFhO/dr30Ij\nNODetvMT3l2cwrvtPjuzkKtP7CNOfYrY+f5A642j7N4NDmUrLF680ul5Dux5DfZ1HRjNTH9/tjQ1\nIfv62mmkwkLWT55s/3rATWIWGmE7CwSCPmCz2WgoyyU21v7JdliUH1W1lzGJWc0DxurFi0nIzUW5\ndQtoTWTC+fOstFiI7TADXfB8ImxnoREaF2jc3XbuScw5164xd5jVQQcQN0rHhYJcakeNE7bzAGlS\n1q5l5vXrXMrNRQ0MGTuWqXFxvU64IjSDowFhO/dr30IjNPB82M7dxZwaHMyju87fNTY2mhg1Mho/\nXaCwnQdSM3kyi9utpx70eISmV5quELazQCAAYEhICOU1fk63PbirIiZm5ABHJBC8uAjbWWiExgWa\nF8F2Pq/XM2L2G2zb8+8smO2Pj68nLS0m8o6WMzNtGUZTlZjtLDRC00MNCNu5X/sWGqGBF8N2BoiJ\niWfi2//EmZzdGB9VotGoeXPjZjwe30TEbGehEZqea7pC5HYWCAR2aDQaZixY3frBVO4wiAsEgmdH\n2M5CIzQu0LwotnN3/QjbWWiERtjObtG30AgNvEC2czf9CNtZaISm55quELOdBQKBQCAYYITtLDRC\n4wKNsJ2fPWZhO798mpPHj3P4/n08NBoCrVbmpaQQHRfn1jH3VAPCdu7XvoVGaEDYzoNt7bm7/Sg0\njpoPv/mGfcOGQWIiAFXA3bNn+bHFQkpiolvG3FtNVwjbWSAQCAQDSkNdHTk2GwwdateuT03l60uX\nBimqgUUMvgKBQCAYUHJOnMCQmup02x2VCovZPMARDTxi8BUIBALBgOLl6YnNYHC6TWW1IqtUAxzR\nwCMGX4FA4BJampv55ttvObBnD4319YMdjsCNmT93LoH5+Q7tiqKQoCjI8os/NIkMVwKB4JnZlZ3N\ntupqWqZOBVkmNzubRZ6ebFi6dLBDE7ghGo2GNxIS+H95eRinTUOSZWwtLYQePsz7K1bwaLADHADE\nUiOhERoXaF7mpUb7Ll/mqMUCs2YhPW4zTp/ON7du4XXyJOMnTRJLjYTGoS0qJYUfDxvG50ePMkSj\nIdTDg3mvvcYjDw+3jbk3GhBLjfq1b6ERGni5lxrVXL8Os2c7xCiNHMnV48dZOX16D2MWS41eNk3M\nsGEEvvKK28Tjak1XvPjGukAg6FcMktTptpaX4N2dQNAXhO0sNELjAs3LbDubbTYUsxlJY/+krSgK\nHmYzpSaTsJ2F5qXTgLCd+7VvoREaeLlt5zcXLOD/7tpFXVaWXbvf0aO88qQpwAAAAqhJREFUl55O\n6BOLUdjOQvOSabpCzHYWCATPhJevL3+TmcmHhw9ToiiYFYVRKhWvT51KaHj4YIcnELglwnYWGqFx\ngeZltp3P6/WkhIayYd06FEXhvF7PJC8vAEpNJpee12BfV6ERmp5qQNjO/dq30AgNvNy2c8f9JEka\ncGvP3e1HoXk5NV0hpiIKBAKBQDDACNtZaITGBZqX3XZ2RczCdhaaF0kDwnbu176FRmhA2M6Dbe25\nu/0oNC+npiuE7SwQCAQCwQAjbGehERoXaITt/OwxC9tZaF4kDQjbuV/7FhqhAWE7D7a15+72o9C8\nnJquELazQCAQCAQDjLCdhUZoXKARtvOzxyxsZ6F5kTQgbOd+7VtohAaE7TzY1p67249C83JqukLY\nzgKBQCAQDDDCdhYaoXGBRtjOzx7zi2Y711ZV8e3hw1y3WvGRZYbLMisWLMDbz89tYxYaYTu7VNOf\nfQuN0ICwnQfb2nM3+zGouZlffPcd1VlZSJJEPVBns1G1bRu/eOst0OncLmahcb2mK4TtLBAIBC5m\ny8GDVGdkIElSW5sky9xPT2fngQODGJnAXRCDr0AgELiYezYbkkrl0C7rdNw0GAYhIoG7ISmKogx2\nEAKBQCAQvEyIJ1+BQCAQCAYYMfgKBAKBQDDAiMFXIBAIBIIBRgy+AoFAIBAMMGLwFQgEAoFggBGD\nr0AgEAgEA4wYfAUCgUAgGGDE4CsQCAQCwQAjBl+BQCAQCAYYMfgKBAKBQDDAiMFXIBAIBIIBRgy+\nAoFAIBAMMGLwFQgEAoFggBGDr0AgEAgEA4wYfAUCgUAgGGDE4CsQCAQCwQAjBl+BQCAQCAYYMfgK\nBAKBQDDAiMFXIBAIBIIBRgy+AoFAIBAMMGLwFQgEAoFggBGDr0AgEAgEA8z/B75cVoQ+vYg3AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11265a470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def fit_randomized_tree(random_state=0):\n",
    "    X, y = make_blobs(n_samples=300, centers=4,\n",
    "                      random_state=0, cluster_std=2.0)\n",
    "    clf = DecisionTreeClassifier(max_depth=15)\n",
    "    \n",
    "    rng = np.random.RandomState(random_state)\n",
    "    i = np.arange(len(y))\n",
    "    rng.shuffle(i)\n",
    "    visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n",
    "                   xlim=(X[:, 0].min(), X[:, 0].max()),\n",
    "                   ylim=(X[:, 1].min(), X[:, 1].max()))\n",
    "    \n",
    "from IPython.html.widgets import interact\n",
    "interact(fit_randomized_tree, random_state=[0, 100]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n",
    "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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z4LPPUBtfzTcQVVnJtYYF6WXNXE3KKyra1K+1GTNuHMkrVnDdwaGp7bZCwdGF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\nHOUdDyZE9OOR8SnHsdd/wYI3fomPIACQTjOr+B0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q9u3fxcIFy3rpOXAs/tf/xUEXFyw7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M2WtZkBXPWTaVdcxjs6qKdtqPCJ4YbE3Dt3joeJ0VZvMA98fQltaSHc1VLy7v/mae1NdKi2kqIi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1111f8630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n",
    "visualize_tree(clf, X, y, boundaries=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n",
    "\n",
    "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quick Example: Moving to Regression\n",
    "\n",
    "Above we were considering random forests within the context of classification.\n",
    "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n",
    "\n",
    "Let's quickly demonstrate how this can be used:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fo1//8b916PDkzM+mCiVdN7RHn7/gffrkh98xr9d3P/+/vXzYczrgby8f1oVl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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b803c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "x = 10 * np.random.rand(100)\n",
    "\n",
    "def model(x, sigma=0.3):\n",
    "    fast_oscillation = np.sin(5 * x)\n",
    "    slow_oscillation = np.sin(0.5 * x)\n",
    "    noise = sigma * np.random.randn(len(x))\n",
    "\n",
    "    return slow_oscillation + fast_oscillation + noise\n",
    "\n",
    "y = model(x)\n",
    "plt.errorbar(x, y, 0.3, fmt='o');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VcVv7fANkM1k6ANVgnNE+qt0OgBSN0tLSRlfXLvr6+qirqy/jSgWz4bZrT6v2EgSCaanN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\nojpXFCwgD95wA/Zf3MXqmz+D96orcN6qCZ7nag7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lop6Ur5zU6AiX/Olu9nfsyPvYnHSs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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b340588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(0, 10, 1000)\n",
    "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n",
    "ytrue = model(xfit, 0)\n",
    "\n",
    "plt.errorbar(x, y, 0.3, fmt='o')\n",
    "plt.plot(xfit, yfit, '-r');\n",
    "plt.plot(xfit, ytrue, '-k', alpha=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Random Forest for Classifying Digits\n",
    "\n",
    "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['target_names', 'data', 'target', 'images', 'DESCR'])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "digits.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1797, 64)\n",
      "(1797,)\n"
     ]
    }
   ],
   "source": [
    "X = digits.data\n",
    "y = digits.target\n",
    "print(X.shape)\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To remind us what we're looking at, we'll visualize the first few data points:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uiPuvsK+//robdfiuuLjY7xIcN2jQIN//FueWrKws1NfX+12G4wKBQNIkVGMZ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\nbj8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1117f4c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set up the figure\n",
    "fig = plt.figure(figsize=(6, 6))  # figure size in inches\n",
    "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n",
    "\n",
    "# plot the digits: each image is 8x8 pixels\n",
    "for i in range(64):\n",
    "    ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n",
    "    ax.imshow(digits.images[i], cmap=plt.cm.binary, interpolation='nearest')\n",
    "    \n",
    "    # label the image with the target value\n",
    "    ax.text(0, 7, str(digits.target[i]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can quickly classify the digits using a decision tree as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.cross_validation import train_test_split\n",
    "from sklearn import metrics\n",
    "\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n",
    "clf = DecisionTreeClassifier(max_depth=11)\n",
    "clf.fit(Xtrain, ytrain)\n",
    "ypred = clf.predict(Xtest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can check the accuracy of this classifier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.83777777777777773"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.accuracy_score(ypred, ytest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and for good measure, plot the confusion matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1117f29e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n",
    "           interpolation='nearest', cmap=plt.cm.binary)\n",
    "plt.grid(False)\n",
    "plt.colorbar()\n",
    "plt.xlabel(\"predicted label\")\n",
    "plt.ylabel(\"true label\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise\n",
    "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``.  How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n",
    "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\n",
    "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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